I see where you're going with this, but it doesn't quite work out that way because you're seeing it from a perfectly straight cue to that point and your nose right over the cue. We're seeing it from a different position with the eyes and head offset and then coming into it with an angled cue or offset and then pivoting to angled.
Your brain is too locked into the straight lines and geometry. Mine doesn't see things that way any longer especially when there's a pivot involved. Remember, I know what you're doing and what you see because I've been there. You continue to operate from an "inside the lines" math way of doing it. What we do is so outside the box, it doesn't even make sense to you which precludes getting any deeper involved. It's automatically "F**K THAT! It can't possibly work."
I know you've taken a deep interest in how the brain works. But you should probably dig deeper into how it works with a
different way of THINKING. It's called LATERAL THINKING.
GOOGLE - LATERAL THINKING
Hal Houle was without a doubt the greatest LATERAL THINKER in history when it came to POOL AIMING SYSTEMS! He developed over 20 aiming systems for pool and each one was way OUTSIDE THE BOX VISUALLY and in PERFORMANCE.
None of them were related to math and geometry. Just very different ways of seeing the two balls, CB and OB interacting with each other from a variety of perspectives as well as cue tip placements and pivots.
You're not following me. I don't care how you're viewing your final solution, or how I or anyone else is viewing their final solution. It doesn't matter. It doesn't matter if it's from an offset across the cue perspective or from a straightforward down the cue noser perspective.
All I'm saying is paying attention to what the shot looks like from the cb address position provides your mind with more visual data pertaining to the shot. And the more we do it, the more we actually pay attention to what the final solution looks like from cb address, the more equipped we are to accurately determine whether or not our alignment process has our body and stroke in tune with what we're seeing.
Put it this way... If a CTE player uses a 15 inside and sweeps or pivots to ccb, but then realizes (or feels) that they're not quite aligned for the shot, it's due to the fact that they've done it enough times to know that what they are seeing now doesn't look right in accordance to how their body is positioned, or how their cue is positioned. So they stand up and repeat the steps to get it right.
The same visual and physical awareness occurs with all aiming methods if the player actually pays attention to what the shot looks like when down on the cb. I'm not knocking any system, and not knocking Hal Houle. And I certainly understand lateral thinking. That's how I was able to remold the old 5-lines quarter fractional system (one of Stan Shuffett's favorite aiming systems), into a fractional aiming system that is far less reliant on guesswork or player experience. Granted, Poolology isn't as creative as some of Hal Houle's stuff, but it is the result of lateral thinking.