I agree. But now some people can point to ChatGPT or other tools and use it as an excuse. So for them, the "bugs" are a feature. They don't care about false positives, they care about the fact some authority tells them a student they don't like used AI to write an essay.
Just introduce an incomprehensible process, Like applying for a Visa or planning permission, and then use it to your advantage.
From the victims perspective, there is no difference between bureaucracy and AI