Your judge failed the bad reply. Good. Would it also pass a good one? Or does it fail everything, which would look identical on that single test?
An LLM judge is a prompt, so it has the same problems as the prompt it's grading. Shankar and colleagues put it bluntly: model graders inherit the flaws of the models they grade, so a person has to check them. You check a judge the way you check anything else: against answers you already know.