Imagine LLM is conscious (as Anthropic wants us to believe). Imagine LLM is made to train on so much data which is far beyond what its parameter count allows for. Am I hurting the LLM by causing it intensive cognitive strain?

I agree that whether AI is conscious is an important question. In fact, I think it's the most important question above our own existential crisis. Unfortunately, it's also completely hopeless at our current level of knowledge.

Why would that hurt?