That's an interesting theory. I've always played a lot of pool, and am good at math/geometry. Yet when I over-analyze a shot and think about what I'm about to attempt, I miss far more often than if I just rely on muscle memory/pattern recognition and take the shot without too much thought.
I think the understanding of angles, intersection points, transfer of energy, etc. helped me practice as a novice (as well as helped me stay interested). But to get really "good" at something, you need to work at it until most of the skills involved are almost subconscious. (Which aligns somewhat with what I recall from "Thinking fast and slow", which I thought was a great book).