Mike-
Let me just bounce this off of you regarding CTE:
I already have an aiming method that is probably as exact as is feasible within the rules of pool. But, I find it limiting because it is difficult to keep a smooth rhythm to my game and I find myself using it on shots that I should be able to make without computation. And frankly, it can be mentally fatiguing to use. I'm lucky if I play over an hour a week, so hitting a million balls is not an option.
So, my interest in CTE is not for finding the exact aiming point, but is an effort to find a way to improve my feel for the game, and to make my game more consistent when moving from table to table.
I have noticed a phenomenon where if you start the sighting process along an aim line that you know is too wide, and gradually visually sweep in along tighter potential aim lines there is (at least sometimes) a "recognition" response when you find the right aim line. sort of a mental: No, no, no, no, yes! when the right aim line is found, that turns to "no" again if you continue your sweep past the correct aim line. My theory is that this is what the pivoting process really is.
Personally, this is how I think the best players aim: they have the ability to quickly consider the possibilities and recognize the correct choice of aim line from among many. So what if CTE isn't really about three angles or exact geometry, but is really a method of systematically approaching a shot and training yourself to recognize that elusive visual cue that confirms that you are "on the line" for that shot. Is that bad?