Shots that are about a 7/8 cut need a 15 perception with a smaller pivot than half tip. Another way to make it work is to use a half tip pivot with a very long bridge to create a smaller angle than a normal half tip pivot with a normal bridge length. What Stan does here,
https://youtu.be/hCnki7a9cH4?t=115s, is a smaller offset pivot to make it work. He doesn't explain why, but it's because the half tip outside pivot would send the ball straight into the rail next to the point, so he uses a smaller pivot (about a quarter tip) in order to shoot the ball just a touch thicker than perceived. On another shot, similar to this near straight in, he uses outside spin to throw the ball in instead of a full half tip pivot that would cause the ball to miss the pocket.
There are also angles where the perception looks dead to send the ob to the pocket without needing thinned or thickened. In other words, shooting straight through the fixed cb, directly along the perception line, would pocket the ob without needing an offset pivot. Stan did a great video (
https://youtu.be/Lrs0aWd9TD4?t=58s) showing the difference between a one line 3/4 fractional aim and a two line 15° CTE perception. He shoots straight through the fixed ccb as perceived by the two visuals (no offset pivot). He does this to show that a 15° perception revealed by two lines is not the same as a 3/4 fractional aim revealed by one line.
What I found more enlightening is that if he had kept incrementally moving the cb an inch or so to the left, repeating the two line 15° perception each time shooting straight through the fixed cb like he shows, eventually he'd have reached an angle where the perception pockets the ball clean, negating the need to thin or thicken the shot up with any pivot.