I'll just say that in snooker, where the pockets are tighter and it's tougher to make balls, pivoting with the cue when you're already down on the shot would be strongly discouraged. Aiming at the side of the ball for the feathers and then turning in on the final delivery as seen in the videos would never be considered a good thing, only an unnecessary complication that may work some of the time, but leaves far too much that can go wrong. It's hard enough to hit the ball straight when you're aiming straight, never mind aiming one place and hitting another. I understand that this is not required in CTE, just what Cowboy Jimmy Moore is doing. I don't know how CTE-ers go about applying side-spin, but I guess it would have to involve another pivot of sorts? For me, this would throw my arm, wrist and grip out of proper alignment, and I'd have to compensate on the delivery. Not something I'd want to be doing, and not something that would lend itself to consistent shotmaking, in my opinion.
If people want to improve at this game they'd be better served looking at what the majority of pros have it common and trying to emulate those things, rather than picking one exception and saying "if it works for him, obviously it works." If you approach pool or snooker this way, and try to implement Keith McCready's side-arm stroke, or Alex Higgins' total disregard for stillness on the shot, you will be very unlikely to ever reach a high standard in either game. If Lou isn't saying that pivoting on the final delivery is necessarily a fundamental flaw, I'll go a little further and say that it is. I think the Cowboy was making balls not because of this approach, but in spite of it.
