I have entire processes built on top of summaries of CoT. They provide tremendous value and no, I don't care if "model still did the correct thing". Thinking blocks show me if model is confused, they show me what alternative paths existed.
Besides, "correct thing" has a lot of meanings and decision by the model may be correct relative to the context it's in but completely wrong relative to what I intended.
The proof that thinking tokens are indeed useful is that anthropic tries to hide them. If they were useless, why would they even try all of this?
Starting to feel PsyOp'd here.