I have some experience with a meditative/dissociative state in which that monologue - which I think of as the "narrator process" - can be observed as just one of many mental subsystems, neither containing the whole of my consciousness nor acting as the agent of my will. The narrator merely describes the feelings which arise in other mental components and arranges them, along with the actions I take, into some plausible linear causal sequence.
Minds differ in many ways, and perhaps one way your mind and mine differ is that words flow quickly for me and do not feel slow or limiting; so I suppose I am easily fooled into perceiving that narrative as the medium of thought in itself. It had not occurred to me to describe the activities of the other mental subsystems as thoughts, but why shouldn't they be? And now I have a better guess at what it might be like to experience the world in a different way. Thank you!