Nice discoveries. It always pays to pay attention to what's going on. My question for thick or thin is just a curious probe into the workings of different visual "perceptions", like the 15 and 30. How most CTE users say that after a while they can use just those two visuals to make a varying array of cut shots. Just trying to understand....if your cue tip always points to the contact point on a 15 visual pivot, wouldn't that always produce the same shot angle? I thought maybe that's where the thick or thin (outside or inside pivot or sweep) came I to play.
That's pretty much the heart of the entire argument. People who use CTE, use the same visuals and pivot the same way, but we get different results depending on the location of the balls in relation to the table. I don't know why.
I keep bringing up 90/90 because it operates on pretty much the same mechanism, but is simpler to learn.
And no the thick and thin pivots don't come into play.
So on pretty much every category of cut, you thin it. It's just how it works.
The exception is if you want to turn a 15 degree perception into a straight-in shot. So you pivot to thicken your offset.
Every other shot you pivot to thin it in the same way. And it won't fill in any of the gaps like I'm assuming you're guessing.
The only other exception is if you want to turn a 30 degree perception into a 15 degree thinned perception. It's done purely for comfort (depending on which hand you hold your cue in, you might like pivoting from the left more than the right). But it doesn't add anything.
If you're doing a 15 perception CUT, you thin it. category 30, you thin, same with 40 and 60. You only thicken the 15 degree offset perception, to turn it into a straight-in shot.
Also I've noticed I can make a 0 degree perception, by lining up edge to edge and thinning it, but that's not canon.