If an LLM writes AlphaZero, and it competes with itself, and is dominant (and beats stockfish!!!), with no book positions cribbed from its learning...

The LLM has a process to beat chess.

Just like, if it doesn't inherently know how to multiply 13 * 17 without using Python to do it... I don't really care.

Maybe you do care. Maybe you want an LLM to be able to do work, only in its head.

But I kind of can't understand the desire for that limitation...

I mean, I do. But it seems ridiculously arbitrary. Like driving a car in 2nd gear and complaining that it gets terrible mileage and can't go fast enough. The Drive gear is literally right there.