diff --git a/Makefile.am b/Makefile.am
index 45dab1e6b4..b9bae2395c 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -297,131 +297,143 @@ need-chutney-path:
 
 # Run some basic tests using automake's test-driver
 .PHONY: test-network
-# Make prints all these recursive invocations by default, but those extra lines
-# break up the chutney flavor statuses
-.SILENT: test-network
+# Hide directory path logs from submakes using $(MAKE) -s
 test-network:
-	@$(MAKE) test-network-mkdir
-	@$(MAKE) test-network-clean
-	@$(MAKE) test-network-ipv4-impl \
-	  ipv4_flavors="$(TEST_CHUTNEY_FLAVOR_QUICK)"
-	@$(MAKE) test-network-ipv6-impl \
+	@$(MAKE) -s test-network-mkdir
+	@$(MAKE) -s test-network-clean
+	@$(MAKE) -s test-network-run \
+	  ipv4_flavors="$(TEST_CHUTNEY_FLAVOR_QUICK)" \
 	  ipv6_flavors="$(TEST_CHUTNEY_FLAVOR_QUICK_IPV6)"
-	@$(MAKE) test-network-results
+	@$(MAKE) -s test-network-results
 
 # Run all available tests using automake's test-driver
 .PHONY: test-network-all
-.SILENT: test-network-all
+# Hide directory path logs from submakes using $(MAKE) -s
 test-network-all:
-	@$(MAKE) test-network-mkdir
-	@$(MAKE) test-network-clean
-	@$(MAKE) test-network-ipv4-impl \
-	  ipv4_flavors="$(TEST_CHUTNEY_FLAVORS)"
-	@$(MAKE) test-network-mixed-impl \
-	  mixed_flavors="$(TEST_CHUTNEY_FLAVORS_MIXED)"
-	@$(MAKE) test-network-ipv6-impl \
-	  ipv6_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6)"
-	@$(MAKE) test-network-results
+	@$(MAKE) -s test-network-mkdir
+	@$(MAKE) -s test-network-clean
+	@$(MAKE) -s test-network-run \
+	  ipv4_flavors="$(TEST_CHUTNEY_FLAVORS)" \
+	  mixed_flavors="$(TEST_CHUTNEY_FLAVORS_MIXED)" \
+	  ipv6_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6)" \
+	  ipv6_mixed_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6_MIXED)"
+	@$(MAKE) -s test-network-results
 
 # Run IPv4 and mixed tests using automake's test-driver
 .PHONY: test-network-ipv4
-.SILENT: test-network-ipv4
+# Hide directory path logs from submakes using $(MAKE) -s
 test-network-ipv4:
-	@$(MAKE) test-network-mkdir
-	@$(MAKE) test-network-clean
-	@$(MAKE) test-network-ipv4-impl ipv4_flavors="$(TEST_CHUTNEY_FLAVORS)"
-	@$(MAKE) test-network-mixed-impl \
+	@$(MAKE) -s test-network-mkdir
+	@$(MAKE) -s test-network-clean
+	@$(MAKE) -s test-network-run \
+	  ipv4_flavors="$(TEST_CHUTNEY_FLAVORS)" \
 	  mixed_flavors="$(TEST_CHUTNEY_FLAVORS_MIXED)"
-	@$(MAKE) test-network-results
+	@$(MAKE) -s test-network-results
 
 # Run IPv6 tests using automake's test-driver
 .PHONY: test-network-ipv6
-.SILENT: test-network-ipv6
+# Hide directory path logs from submakes using $(MAKE) -s
 test-network-ipv6:
-	@$(MAKE) test-network-mkdir
-	@$(MAKE) test-network-clean
-	@$(MAKE) test-network-ipv6-impl \
-	  ipv6_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6)"
-	@$(MAKE) test-network-results
+	@$(MAKE) -s test-network-mkdir
+	@$(MAKE) -s test-network-clean
+	@$(MAKE) -s test-network-run \
+	  ipv6_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6)" \
+	  ipv6_mixed_flavors="$(TEST_CHUTNEY_FLAVORS_IPV6_MIXED)"
+	@$(MAKE) -s test-network-results
 
 # Make the test network log directory, if it does not exist
 .PHONY: test-network-mkdir
-.SILENT: test-network-mkdir
 test-network-mkdir:
 	@mkdir -p "$(TEST_NETWORK_ALL_LOG_DIR)"
 
 # Clean the test network log directory
 .PHONY: test-network-clean
-# We don't silence clean: we want to see the rm command
 # We need to remove all matching files, so we can't quote the glob part of the
 # rm arguments
 test-network-clean:
 	rm -f "$(TEST_NETWORK_ALL_LOG_DIR)"/*.log \
 	      "$(TEST_NETWORK_ALL_LOG_DIR)"/*.trs
 
-# Run the IPv4-only test flavors
-#   - $(ipv4_flavors) contains the tests to run
-.PHONY: test-network-ipv4-impl
-.SILENT: test-network-ipv4-impl
-test-network-ipv4-impl:
-	@$(MAKE) test-network-run flavors="$(ipv4_flavors)" skip_flavors=""
-
-# Run the mixed tests in $(mixed_flavors), if a tor-stable binary is available
-#   - only run mixed tests if we have a tor-stable binary
-#   - $(mixed_flavors) contains the tests to run (or skip)
-.PHONY: test-network-mixed-impl
-.SILENT: test-network-mixed-impl
-test-network-mixed-impl:
-	@flavors=""; \
-	if command -v tor-stable >/dev/null 2>&1; then \
-		echo "tor-stable found, running mixed flavors:" \
-		  "$(mixed_flavors)."; \
-		flavors="$$flavors $(mixed_flavors)"; \
-	else \
-		echo "tor-stable not found, skipping mixed flavors:" \
-		  "$(mixed_flavors)."; \
-		skip_flavors="$$skip_flavors $(mixed_flavors)"; \
-	fi; \
-	$(MAKE) test-network-run flavors="$$flavors" \
-	                         skip_flavors="$$skip_flavors"
-
+# Run tests using automake's test-driver
+# When checking if a set of test can be run, log the type of test, and the
+# list of tests that will be run (or skipped).
+#
+# Run the IPv4 tests in $(ipv4_flavors), unconditionally
+#   - tor relays and directory authorities require IPv4.
 # Run the IPv6 tests in $(ipv6_flavors), if IPv6 is available
 #   - only run IPv6 tests if we can ping6 or ping -6 ::1 (localhost)
 #     we try the syntax for BSD ping6, Linux ping6, and Linux ping -6,
 #     because they're incompatible
 #   - some IPv6 tests may fail without an IPv6 DNS server
 #     (see #16971 and #17011)
-#   - $(ipv6_flavors) contains the tests to run (or skip)
-.PHONY: test-network-ipv6-impl
-.SILENT: test-network-ipv6-impl
-test-network-ipv6-impl:
-	@flavors=""; \
-	if ping6 -q -c 1 -o   ::1 >/dev/null 2>&1 || \
-	   ping6 -q -c 1 -W 1 ::1 >/dev/null 2>&1 || \
-	   ping  -6 -c 1 -W 1 ::1 >/dev/null 2>&1; then \
-		echo "ping6 ::1 or ping ::1 succeeded, running IPv6" \
-		  "flavors: $(ipv6_flavors)."; \
-		flavors="$$flavors $(ipv6_flavors)"; \
-	else \
-		echo "ping6 ::1 and ping ::1 failed, skipping IPv6 flavors:" \
-		  "$(ipv6_flavors)."; \
-		skip_flavors="$$skip_flavors $(ipv6_flavors)"; \
-	fi; \
-	$(MAKE) test-network-run flavors="$$flavors" \
-	                         skip_flavors="$$skip_flavors"
-
-# Run tests using automake's test-driver
-#   - $(flavors) contains the tests to run
-#   - $(skip_flavors) contains the tests to skip
+# Run the mixed tests in $(mixed_flavors), if a tor-stable binary is available
+#   - only run mixed tests if we have a tor-stable binary
+# Run the IPv6 mixed tests in $(ipv6_mixed_flavors), if IPv6 and mixed are run
+#   - see above for details about IPv6 and mixed
 .PHONY: test-network-run
-.SILENT: test-network-run
 # We need the word splitting in the "for" lines, so we can't quote
 # $(skip_flavors) or $(flavors)
 test-network-run: need-chutney-path test-driver $(TESTING_TOR_BINARY) src/tools/tor-gencert
-	@for f in $(skip_flavors); do \
+	@flavors=""; \
+	skip_flavors=""; \
+	if test -n "$(ipv4_flavors)"; then \
+		echo "Running IPv4 flavors: $(ipv4_flavors)."; \
+		flavors="$$flavors $(ipv4_flavors)"; \
+	fi; \
+	test_network_ipv6=false; \
+	if test -n "$(ipv6_flavors)" || \
+	   test -n "$(ipv6_mixed_flavors)"; then \
+		if ping6 -q -c 1 -o   ::1 >/dev/null 2>&1 || \
+		   ping6 -q -c 1 -W 1 ::1 >/dev/null 2>&1 || \
+		   ping  -6 -c 1 -W 1 ::1 >/dev/null 2>&1; then \
+			test_network_ipv6=true; \
+		fi; \
+	fi; \
+	if test -n "$(ipv6_flavors)"; then \
+		if test "$$test_network_ipv6" = "true"; then \
+			echo "ping6 ::1 or ping ::1 succeeded, running IPv6" \
+			  "flavors: $(ipv6_flavors)."; \
+			flavors="$$flavors $(ipv6_flavors)"; \
+		else \
+			echo "ping6 ::1 and ping ::1 failed, skipping IPv6" \
+			  "flavors: $(ipv6_flavors)."; \
+			skip_flavors="$$skip_flavors $(ipv6_flavors)"; \
+		fi; \
+	fi; \
+	test_network_mixed=false; \
+	if test -n "$(mixed_flavors)" || \
+	   test -n "$(ipv6_mixed_flavors)"; then \
+		if command -v tor-stable >/dev/null 2>&1; then \
+			test_network_mixed=true; \
+		fi; \
+	fi; \
+	if test -n "$(mixed_flavors)"; then \
+		if test "$$test_network_mixed" = "true"; then \
+			echo "tor-stable found, running mixed flavors:" \
+			  "$(mixed_flavors)."; \
+			flavors="$$flavors $(mixed_flavors)"; \
+		else \
+			echo "tor-stable not found, skipping mixed flavors:" \
+			  "$(mixed_flavors)."; \
+			skip_flavors="$$skip_flavors $(mixed_flavors)"; \
+		fi; \
+	fi; \
+	if test -n "$(ipv6_mixed_flavors)"; then \
+		if test "$$test_network_ipv6" = "true" && \
+		   test "$$test_network_mixed" = "true"; then \
+			echo "Running IPv6 mixed flavors:" \
+			  "$(ipv6_mixed_flavors)."; \
+			flavors="$$flavors $(ipv6_mixed_flavors)"; \
+		else \
+			echo "Skipping IPv6 mixed flavors:" \
+			  "$(ipv6_mixed_flavors)."; \
+			skip_flavors="$$skip_flavors $(ipv6_mixed_flavors)"; \
+		fi; \
+	fi; \
+	for f in $$skip_flavors; do \
 		echo "SKIP: $$f"; \
 	done; \
-	for f in $(flavors); do \
+	for f in $$flavors; do \
 		$(SHELL) "$(top_srcdir)/test-driver" --test-name "$$f" \
 		  --log-file "$(TEST_NETWORK_ALL_LOG_DIR)/$$f.log" \
 		  --trs-file "$(TEST_NETWORK_ALL_LOG_DIR)/$$f.trs" \
@@ -437,7 +449,6 @@ test-network-run: need-chutney-path test-driver $(TESTING_TOR_BINARY) src/tools/
 #     (otherwise, warnings go to the logs, and people don't see them unless
 #     there is a network failure)
 .PHONY: test-network-results
-.SILENT: test-network-results
 # We need to grep all matching files, so we can't quote the glob part of the
 # grep arguments
 test-network-results:
diff --git a/changes/ticket33334 b/changes/ticket33334
new file mode 100644
index 0000000000..ada3cb284c
--- /dev/null
+++ b/changes/ticket33334
@@ -0,0 +1,5 @@
+  o Testing:
+    - Test v3 onion services to tor's mixed IPv4 chutney network. And add a
+      mixed IPv6 chutney network. These networks are used in the
+      test-network-all, test-network-ipv4, and test-network-ipv6 make targets.
+      Closes ticket 33334.
diff --git a/src/test/include.am b/src/test/include.am
index fdd1195fdf..9eb8dc2ab1 100644
--- a/src/test/include.am
+++ b/src/test/include.am
@@ -66,18 +66,20 @@ TESTS += src/test/test src/test/test-slow src/test/test-memwipe \
 # this test only uses IPv4
 TEST_CHUTNEY_FLAVOR_QUICK = bridges+hs-v23
 # only run if we can ping6 ::1 (localhost)
-TEST_CHUTNEY_FLAVOR_QUICK_IPV6 = client-ipv6-only-md
+TEST_CHUTNEY_FLAVOR_QUICK_IPV6 = single-onion-v23-ipv6-md
 
 # run a basic set of tests, which only use IPv4
-TEST_CHUTNEY_FLAVORS = basic-min bridges-min hs-v2-min hs-v3-min \
-	single-onion-v23
+TEST_CHUTNEY_FLAVORS = basic-min bridges-min hs-v23-min single-onion-v23
 
-# only run if we can ping6 ::1 (localhost)
+# only run if we can ping ::1 (localhost)
 TEST_CHUTNEY_FLAVORS_IPV6 = bridges+ipv6-min ipv6-exit-min hs-v23-ipv6-md \
 	single-onion-v23-ipv6-md
 
 # only run if we can find a stable (or simply another) version of tor
-TEST_CHUTNEY_FLAVORS_MIXED = mixed+hs-v2
+TEST_CHUTNEY_FLAVORS_MIXED = mixed+hs-v23
+
+# only run if IPv6 and mixed networks are run
+TEST_CHUTNEY_FLAVORS_IPV6_MIXED = mixed+hs-v23-ipv6
 
 ### This is a lovely feature, but it requires automake >= 1.12, and Tor
 ###  doesn't require that yet.