I don't think smart people generally solve problems by talking through reasoning steps at a mile a minute. They clear their mind and let the solution come.

Of course I don't know if there's really a way for this to be molded in current LLM's (sounds more like diffusion)

> They clear their mind and let the solution come.

They work on a problem until their brain is full of problem-related concepts. Then something comes. After validation it might be a solution.