Do AI detectors work? Students face false cheating accusations

This has nothing to do with AI, but rather about proof. If a teacher said to a student you cheated and the student disputes it. Then in front of the dean or whatever the teacher can produce no proof of course the student would be absolved. Why is some random tool (AI or not) saying they cheated without proof suddenly taken as truth?

Universities don't exactly decide guilt by proof. If their system says you're guilty, that's pretty much it.