[integration_test] Fix incorrect logging for the legacy reporter (#72699)

packages/integration_test/lib/integration_test.dart

@@ -126,12 +126,13 @@ class IntegrationTestWidgetsFlutterBinding extends LiveTestWidgetsFlutterBinding
   /// execute their tests instead.
   IntegrationTestWidgetsFlutterBinding() {
     if (!_isUsingLegacyReporting) {
+      return;
+    }
+
     // TODO(jiahaog): Point users to use the CLI https://github.com/flutter/flutter/issues/66264.
     print('Using the legacy test result reporter, which will not catch all '
         'errors thrown in declared tests. Consider wrapping tests with '
         'https://api.flutter.dev/flutter/integration_test/run.html instead.');
-      return;
-    }
 
     tearDownAll(() async {
       _updateTestResultState(results);