They're pretty clear that their thoughts are in language, and mine are not. I'm not sure how those can be the same thing. I can stop thinking thoughts, yes.
I agree with wilg. For example, what you are describing seems similar to my own subjective experience and yet, I've always thought of myself as having an inner monologue. To me, an inner monologue is just about reasoning in my head with the help of language. You are capable of formulating sentences in your head? Solving riddles? You can articulate how you reached a certain conclusion? etc. Surely not every word that comes out of your mouth comes as a surprise? I don't think having an internal monologue necessarily means having a constant conversation with yourself.