[Taek]

If an LLM, which abstractly is just a stack of transformers, is able to reason about itself, why wouldn't a chess engine (also a stack of transformers) also be able to reason about itself?

That reasoning may not manifest as English that we can read, but that doesn't mean it isn't there.

As information bounces through the many layers of the model, I find it plausible that you could get reflection in there somewhere.

I also find it reasonable that consciousness may not even require reflection / introspection.

That's the main problem with consciousness. We really have no idea how it works, therefore it's really difficult to conclusively state that something lacks consciousness