No it won't...try it at the table without shooting, just aquire the visuals as I explained with the hands and the clock example and absorve what happens..
For the shot #1 you align that way, as I described in the example, to CBEtoA and CTEL, now without doing anything draw a virtual line through center of the CB and note where it ends up on the OB.
Now do the absolute same thing for the shot #3, and I guarantee you that when you draw that virtual line through the center of the CB, after aligning to the visuals as I explained in the hands/clock example, it WILL NOT end up in the same spot on the OB....and that is why the same half a tip pivot from the inside to center CB will work for both shots.
WHY that happens? I don't know, and others do not know too, but it does work...there is no math proof currently.
Firstly, & foremost, Thank You for your reply & for your civility.
However...
Do you realize how irrational & illogical that is?
I've shot each of the other shots
objectively & sent each one out on nearly the same exact angle & into the short rail. The key word there is objectively. See the same thing. Align to the same thing. Make the same 1/2 tip pivot. AND get the same outcome angle.
Now, IF... I line up to the line given by the objective alignment & then tweak that alignment based on my past experience of what it takes to actually pocket the other shots, then Yes...I can get a different outcome angle, BUT, that is no longer shooting the shot based on the visually objective alignment. I've just interjected subjective intuition based on my past experiences.
I think what you are referring to is arriving on that different line due to being influenced by your subconscious that has 'learned' from your past experiences.
If you instruct a newbie to shoot the first shot & they have a naturally good stroke & pocket the ball & then move them over parallel to a much differently angled shot & tell them to do the exact same thing, there is no way that I can see them making that 2nd. shot IF they
objectively do the same thing.
Another question. What is there that is objective that tells one in what direction one should pivot?
I thank you again for your civil reply & Best 2 You,
Rick
PS CTE obviously works very well for very many. I'm not saying that is doesn't. I'm just questioning the true nature of what is actually going on.