I have to question how much time you really spend at the table. You spend far more time trying to be "right" here on the forum, by far. I think you're one of these intelligent people who has a severe mental imbalance that goes along with it. You'd have to since you've been making the same arguments and need to be right for 17 YEARS between RSB and here. Something wrong there, pal.
But I'm going to give you and everyone else an experiment to do ON THE TABLE.
I don't want to hear any of your usual crap until it's actually done. The only area to be discussed has to do with results. What were they for you?
Hal taught this to me and another part was taught to me by someone else and it has to do with a fraction system along with pivot. Hal had about 20 systems and THIS had more to do with what you refer to as the 3 angle system, not CTE. It's a combination of "stick aiming, centerball, edge, and 1/2 way between center and edge.
DIRECTIONS: Place an OB dead center in the side pocket with the front of the ball accurately measured at 8" from the pocket edge. It should be marked off to the side with a piece of tape or notebook reinforcement because you'll be moving the CB to multiple spots.
Place the back of the CB centered 10" away from the 1st diamond at the other side pocket for a right cut shot. As you align the CB with the OB, straight in should look like it will hit the tip of the pocket. Address the CB with 1/2 tip of INSIDE English from center and the tip of your cue aimed at the CENTER of the OB. Then PIVOT back to the center of the CB and take the shot. It should go in.
Set the OB back to the same preset spot. Move the CB one more diamond away from the side pocket toward the corner pocket to increase the angle with the same 10" away. Address the CB the same way as above with inside offset aiming to center OB and then pivot back to center and take the shot. Should also go in even though it was the same aim point to center of OB and pivot to center.
Set the OB back and now move the CB 10" from the FIRST diamond on the END rail from the corner pocket of the rail you've been shooting from. Now a straight in shot would be aimed slightly more than one diamond beyond the side pocket for the OB.
Do everything the same as before. 1/2 tip inside center CB to center of OB and then pivot back to center of CB. You may make it or your may not. If you miss more than you make use ONE TIP of inside instead of 1/2 tip when pivoting back to center.
So the question is, WHY do these different angled shots all go in with the same starting offset, pivoting back to center, aiming at the CENTER of the OB?
The same results can be duplicated by aiming your tip at the CENTER of the OB while addressing the CENTER of the CB but pivoting 1/2 tip to OUTSIDE English.
As you increase the angle further, your new aim point will be 1/2 way between center and edge with the same tip offsets and either pivoting back to center CB from inside or outside from center.
Let's see who the doers are on the table and the keyboard bullsh*t artists are by battling with words and never getting on the table.
THE ABOVE IS NOT CTE!