I’m one of the latter that doesn’t really think in words, and a LOT of the time, thoughts have to be greatly simplified or at least much more organized to be stated in clear sentences. It’s that pause-and-refine that often gets the breakthrough for me. Sometimes it takes clear until I’m trying to put it in understandable sentences instead of a big ramble, but it still largely boils down to ACTUALLY stopping the task work to loop back over the landscape.
A lot of people do the same thing physically. Like when you’re climbing a big ladder and suddenly realize how high up you are, or how unstable the ladder is. Just a pause and broadening of attention is often enough to cue different thoughts and realizations.