Yes. There's a power imbalance without accountability. Of course they're going to abuse it. This professor and his university are both clearly incompetent. Students shouldn't even have to defend themselves against a cheating accusation. Either prove it or assume it didn't happen.

I used to be a teacher and even when I strongly suspected a student of cheating, if I couldn't prove it, I wouldn't even mention it to them or anyone else. Weak evidence doesn't mean partial guilt.