I just said LLMs

You are right that LLM and alphazero are different models, but given that alphazero demonstrated having the ability to bootstrap creations, we can't easily rule out LLM also has this ability?

This doesn’t make sense. They are fundamentally different things, so an observation made about Alphazero does not help you learn anything about LLMs.

I am not sure, self-play with LLMs self generated synthetic data is becoming a trendy topic in LLMs research.