It's a fair question, but there's maybe a bit of US defaultism baked in? If I look back at my exams in school they were mostly closed-book written + oral examination, nothing would really need to change.

A much bigger question is what to teach assuming we get models much more powerful than those we have today. I'm still confident there's an irreducible hard core in most subjects that's well worth knowing/training, but it might take some soul searching.