Here is the way I see it.
Playing pool is not like shooting a gun or throwing darts. It requires binocular vision to see the off center spot on the cue ball to hit on a line through the cue ball to the object ball. Sending a cue ball at an angle from the straight ahead line is best seen with binocular vision. Calculating the effects of throw based on some chosen line and the required cue tip placement is best addressed with two eyes.
My brain has accommodated to the idea that one of my eyes sees better (differently) than the other eye. My brain operates from the center line of the body and has learned to adjust its calculations based on the disparity between my eyes. That is to say my brain tends to have a preference for one eye over the other and is able to make some exquisite calculations about where things are located relative to other things given the inequality of visual ability. Simply put, the brain knows what to do with unequal eyes and demonstrates this by what others call visual dominance.
Therefore, when I play pool I center the stick on my chin and let the brain make all of its usual calculations. This is the way it prefers to operate because over time it has learned that this is the best way for me to locate things “out there.”
To place my dominant eye over the cue is to defeat the natural way my brain prefers to work.
In my experience the brain wants a benchmark from which to make all those calculations. It is for this reason that I have trained myself to always place my chin over the cue stick and have my eyes in the same place for each shot. To do otherwise is to add extra complications.
Yes, I never understood the shooting comparison either.
And I think we are saying the same thing in terms of benchmarking. It's at the root of improving as a player and remembering the shots. Otherwise you are staring without an accurate frame of reference each shot.
Lou Figueroa