Try switching order

package.json

@@ -16,7 +16,7 @@
     "test-e2e:peer1": "testcafe firefox:headless __e2e_tests__/peer1.e2e.js",
     "test-e2e:peer2": "testcafe firefox:headless __e2e_tests__/peer2.e2e.js",
     "test-e2e": "run-p test-e2e:*",
-    "test-e2e-start": "run-p -r test-e2e start",
+    "test-e2e-start": "run-p -r start test-e2e",
     "lint": "jshint .",
     "validate": "npm ls"
   },