Will the next high value profession be people who can think independently?

I think it probably always was, provided that your independent thought is aligned with what other people actually need. Independent thought for its own sake can often lead to your ruin if taken to the logical extreme.

I feel like independent thought will decrease considerably with LLMs. I wonder if they will effectively become oracles in the sense that the average output of an LLM will be what most companies do therefore you can predict what most companies will do.