I've always been a bit perplexed by the claim of not having an inner monologue, but after reading the replies to your comment I wonder if I'm closer to not having an inner monologue than having one. I thought it was about not being able to summon an inner voice at all. Regardless, it's fascinating to read peoples descriptions and see that it lies on a spectrum.
I definitely experience it when reading & writing carefully and sometimes in deep thought with conscious effort, but never minute to minute and definitely not compulsively. I'd describe my minute to minute like you, more abstract and intuitive. Yet at the same time I'm very introspective, it just doesn't happen with an inner monologue.
edit: after reading the study, I think I fall into the not having an internal monologue. Fascinating.