I've always said that time at the table will make you better, be it aiming or recognizing how the balls collide or come off the rails, or whatever. I've also maintained what you essentially said above, that if you stick to the strict pivots it doesn't work. Cookie went ballistic a day or two ago when I said this.
I do not believe CTE in the book involves a sweep anymore. Is it still called Pro1? The sweep was replaced by turning the head and then "stepping" the cue ball, which amounts to looking at the edge of the cue ball and picking up the resulting shot line from your averted gaze. A fixed pivot turned into a visual sweep (not to be confused with sweeping the cue in from the side as many misunderstand) and that turned into the head turn and "stepping." Amazingly, all three methods put you precisely on the shot line, supposedly. Sweeping/head turning/whatever I guess it about amounts to the same thing. It seems "stepping" is the game changer in Stanspeak, though.
The only issue I have with your take on it is that I would not endorse a product that misinforms the customer. Anybody who has put in any real effort at this game has gone down dead ends and lost time. It's part of the process. I don't think we need to make things harder than they already are for people who might be just starting out. I could go through the claims made by Stan but most already know them and cookie has been busy with the report button, I'm sure, so I'll let it go at that. Having said all that, I'm open to being proven wrong by mohrt's study. Seems like he's given up the effort, though.
I recall a wise person once said how it is good to have an open mind but not so open that one's brain falls out.