LOL.
Yes, I read all that post 40 - 45 stuff, but I'm left wondering, "So what"? I'm not trying to be rude, I'm just not sure why you are pointing out that when you move the object ball and then move your body that you are rotating around the cue ball. That happens with every shot with or without an aiming system.
The crux of the issue is this video:
https://www.youtube.com/watch?v=-1Psy5hOJT0&t=415s
There is no explanation as to how Stan gets the ob to go in 5 different directions using the same visual. Each of the CTE supporters has their own theory as to "why it works" but nobody really knows. The only explanation I can even make sense of is from mohrt, who if I recall correctly, says this (paraphrasing): Let's say you have two balls in an ETA perception that pockets the ball in the corner. Now move the ob 2 inches. You can use the same ETA perception but the ball will still go in the same pocket because the position of the rails and pockets fool your eye so that you can still line up ETA and it will LOOK LIKE ETA (when it really isn't) because the angle of the rails to the two balls makes it look that way. So, after having written that I hope I got that wrong and he isn't really saying that.
Use your technical and/or reactor background. What do you think? Sometimes the simplest answer it the most likely. Is it possible that adjustments are being made in Stan's video and either 1) not realized, or 2) not disclosed?
Yeah, I almost made an even dozen but I dogged one. (Sorry, couldn't resist.)

I find that when I'm shooting with CP aiming I don't move into a straight in shot position first but that I approach at the approximate shot line and then fine tune my aiming point from there. If you're pivoting after you get down on your shot I think you helped prove my point. You're equating a pivot amount with a change in the shot angle as you fine tune the aiming point.
I can't explain Stan's video because I'm not familiar with Pro One sweeps. I'll draw up a pivot triangle for them and check the angles involved. At first glance they seem to lie within 15* of each other so I think it's possible they share the same visual. I'll get out the graph paper and scale and get back to you on that one.
Perhaps you're not aware of the Navy's new Vorpal Reactor. Made that puppy out of two 50 gallon drums and radium from 12 Rolex watch dials.