IIRC one of the common factor with genius/prodigies of yesteryears is they all worked 1:1 or in a small group with some reasonably talented teachers. Unfortunately that is not scalable for mass, so may be custom designed Device + LLM may work better than giving up digital.

Birds of feather and all that. I was lucky enough to end up in a class full of kids much smarter than me.

As for LLM replacement for talented teacher,even though I kinda worry that it would be subverted by organizations and various interests intent on stripping anything of value from LLM thus rendering LLMs role as a talented guide/teacher role largely useless, I personally found exploring new subjects even more engrossing than ( at one point in time, following down the rabbit hole of Wikipedia entries on some obscure subject ).

Part of the problem is that this thing would need to be marketed as safe, but safe is staying within rigid parameters that do not allow for a genius level individual to grow. Smart is probably a lot easier so safety features will likely not be triggered that often.

The other problem is that only some kids will take advantage of that mode. Not everyone is inclined to explore like that.

I have no real solution here. My kid is not at the age I need to worry about it yet, but I am slowly starting to plan my approach and I think tuned LLM with heavily restricted digital access will be the initial approach.