Yes. And yes. And yes.
As a teacher (12-18yr students) I can say resoundingly they are overused and misused. Kids are using AI for their responses to written work under our noses. They can't write effectively or speedily with with pens anymore for assessments, tests and exams. They're wasting time on websites instead of researching.

I would advise/advocate for a return to computer rooms or classrooms with accessible bookable trolley banks of laptops for specific research situations. These can be supervised more easily. Kids are assigned a numered laptop from a trolley bank and use that specific one on each occasion (so damage or misuse can be tracked).
AI is becoming a major problem in education.
My daughter teaches at uni and has reported misuse there amongst undergrads too.