Yeah, great points.
I updated my course AI policy to say that I'll take away points if you write like AI, even if you didn't actually use AI. I think this is defensible because in this day and age, writing too much like AI is in itself a weakness.
I do mention that it's highly unlikely that anyone naturally writes like AI, and almost always when someone runs a text through an AI detection tool and it comes out positive, it's usually AI.
The policy is really so that I don't need to spend any time trying to prove whether or not someone actually used AI.