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Thanks for your thorough answer.
I'll see if I can find that article/paper about the chess moves. That sounds interesting!
Could it be that we ascribe an LLM with conceptual knowledge while in fact it is by chance? We as humans are masters at seeing patterns that aren't there. But then again, like another commenter said, maybe the question is more about conscience itself, and what that actually means. What it means to "understand" something.
So the paper that found that particular bit in Othello was this one: https://arxiv.org/abs/2310.07582
Which was building off this earlier paper: https://arxiv.org/abs/2210.13382
And then this was the work replicating it in Chess: https://www.lesswrong.com/posts/yzGDwpRBx6TEcdeA5/a-chess-gpt-linear-emergent-world-representation
It's not by chance - there's literally interventions where flipping a weight or vector results in the opposite behavior (like acting like a piece is in a different place, or playing well he badly no matter the previous moves).
But it's more that it seems unlikely that there's any actual 'feeling' or 'conscious' sentience/consciousness to understand beyond the model knowing what the abstracted pattern means in relation to the inputs and outputs. It probably is simulating some form of ego and self, but not actively experiencing it if it makes sense.