I would love for ab education system where AI just wouldn't help - i.e. that's focussed on application of knowledge and its adaption instead of reciting it.
But that is so far off that your take seems to be the only sane one. Especially your second paragraph: it would be so easy to show how broken these models are.
Although it would need way more time for teachers to just stay up to date. Just a few weeks ago my default prompt was fixed and my example of "this will literally kill you" now gives out proper results. Need to find a new, deadly LLM invention!