Nothing I write is the product of thought; you only think it is.
That may sound trite, and absurd, but actually it is true.
I never think about what I'm going to write: I just do it. Either my mind works instantaneously, or there isn't any thinking going on.
You are mistaking and conflating several things here. You are conflating being in a "flow state", where you are spontaneously moving and expressing feelings, such as I do playing music, writing my book, doing photography, doing Tai Chi, etc, with a state of "no thought". This is incorrect thinking on your part. The thoughts are there, as you in fact are expressing things using words, or notes, or movements of the body as in dance, etc.
You are simply accessing those with a 'higher mind' as it were. Instead of looking at your feet as you dance and trying to consciously 'think' about the movements, you 'let go' and let the whole person, the body, the mind, the emotions, the spirit, 'take over' as it were. This is not to the
exclusion of thought, rather it is the
mastery of it, integrating it into the whole person. These are what are called nondual flow states. I do this all the time in very many areas of my life.
I know what it is to have pure "no thought' in high-causal meditative states. These flow states are not that, even if the mind seems 'at rest' during them. It's just operating at 'very subtle', or low-causal states.
I drive the same way. I engage in combat the same way. I build wooden structures the same way. Nothing I do is the product of thought.
Imagine something you have no knowledge of, such as piloting a submarine or flying a commercial airliner. Do you imagine you could just sit in the pilot's seat and execute maneuvers with no training or prior knowledge at all in these states?
In order for what you are saying to be true, you are talking literal pure
magic; something out of nothing. And if so, I'd just have to say prove it. You are simply taking skills that your mind as learned and using them at higher functional levels. But the mind is still using thoughts, even if you are not consciously focused on them. You have through practice moved them into your nervous system. They don't just magically get there without thought and practice. Do they?
This is something the reader either takes on faith, because he/she is intrigued by it, or not. It is an unknown state to any who do not know it.
It is a state well-known to me. I just disagree with your interpretations of what this is.