They shouldn’t as a matter of not being shitbags, but not as a matter of law. If they want to reap the consequences of being a public nazi, by all means. Not everyone has a meat shield like Musk.

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Maybe, maybe not. If it’s a project or a paper, sure, this genie isn’t going back in the bottle so might as well acclimate. And also judge harshly for error since that’s kinda the big reason you don’t trust the things outright.

If it’s a closed book exam or some other “prove you know this” like showing your math work, then it’s an effective method of preventing cheating. More or less, bit of an arms race with that.

Even if it did, not currently an obstacle.

Well yeah, you have to pat dry. But you still get cleaner and use way less tp (this may vary on how much fiber you have in your diet).