I think a Socratic Method-style AI tutor would work, though. It would be less about the LLM providing direct educational material themselves, but making sure the student is thinking about the right questions to direct themselves in learning the material.
How do you ensure the kid is learning the right material? You want them to stay on topic, but a Socratic Method that starts off on one topic can easily branch into many other topics, and then suddenly your student has spent the whole class learning about something other than what they were supposed to.
All learning is good, yes. But a baseline curriculum is necessary to create a ground floor of knowledge for society.