Pfffhm-well. Yes, in that, at any time, I can grab a pencil and map out my thinking in simple language/schemes/figures. It's all very clear to me + can be made clear to others.
Can I ask what you as an INTP make of this:
I understand the mechanism of my own thinking. I know precisely how I know, and my understanding is recursive. I understand the infinite regress of this self-knowing, not by proceeding step by step endlessly, but by apprehending the limit. The nature of recursive cognition is clear to me. A new meaning of the term "self-aware."
Fiat logos. I know my mind in terms of a language more expressive than any I'd previously imagined. Like God creating order from chaos with an utterance, I make myself anew with this language. It is meta-self-descriptive and self-editing; not only can it describe thought, it can describe and modify its own operations as well, at all levels. What Gödel would have given to see this language, where modifying a statement causes the entire grammar to be adjusted.
Does that state of mind sound appealing to you?