Sometimes I monitor thinking traces for misunderstandings (missing context / bad assumptions). If it's going to go off on a ~20 min task and I can catch it's going in the wrong direction in the first minute I save a lot of tokens and wasted time. I don't monitor the whole thing, mostly just the first bit to see if there was a gap or misalignment in intention.

As an aside, anthropomorphization has nothing to do with my motivations.