I've posted in many of the aiming threads, I started using CTE/Pro1 almost a year ago now. Thought I would add my experience here, since you are asking about more details. Actually, I'm just following champ's avatar around...
I practiced with it 1 - 2 times per week, maybe 4 - 6 hours total, throughout contacting some of the CTE'ers here as well as Stan. Between the DVD, my practice, and getting some questions answered, I was doing the manual method comfortably in a few sessions, where I knew pretty much what shot/aim/pivot to use. Started using Pro1 probably a few weeks later and integrating the new routine into my game. Within a few months I was pretty comfortable with it and felt like I was poised to take my game to a level I hadn't reached before. Then I took a lesson, switched up a few things, equipment, etc. and embarked on a 5 month slump. But that's another story...
After a few weeks off, I started out this year with renewed focus, fixed my slump, and am now playing better than ever. I guess that's how slumps work, but frustrating nonetheless.
Improvement - for me, it helped me KNOW where to hit the ball. Not my old way, which involved useless helping english or guessing on certain shots. I just know. And that's from learning and trusting the system and the positive reinforcement of seeing the balls go in the hole. It has raised my pocketing percentage on shots, some types more than others, which raises my overall runout percentage because I miss less balls. It also had the side benefits, as mentioned elsewhere, of anchoring my PSR and approaching every shot the same way. I was already a good player, so position, route choices, etc. wasn't the issue, I would just miss balls a little more often than I would like, especially under pressure.
It may not be for everyone. For me, it's easy and it helped, and the few people I've shown it to can't believe it and want to learn it as well. Jury is still out on how it works - geometry, visual intelligence, some sort of eye/mind trick - whatever, it works. I'm a VERY analytical person, to a fault, and I can tell you 100% that with any normal shot on the table (no curves, masses, or other tricks) I can pick the correct alignment and pivot, and while looking at the cue ball pivot to center ball (so the object ball/pocket does not come into play), and when I hit center ball I'm locked in. Period. I've always been very cueball focused, I'm a look at the CB last guy, so this fit right in with my routine, and it's how I know I'm not referencing the OB during the pivot phase, and I'm a good enough player where I know when I'm tweaking or adjusting once down on the shot. Certainly I adjust sometimes, whether for english, to make sure I hit a certain part of the pocket, maybe my pivot or alignment was a little off and I sense that, but it's like 10% of the time, no more. No funky adjusting or tweaking, just locked in. I don't know how or why, but it's there. Thick, medium, thin, banks, close, far, doesn't matter. Can't explain it, wish I could, I'd write a book...
I disagree a bit with Champ. I agree with the first two phases, but I wouldn't word it that you stop using the lines. To my knowledge Stan still picks up the visuals and he's been doing this for 12 years. For me, a transition occured where I'm able to pick up the visual much more quickly, sometimes so quickly that I'm not aware of it. Maybe that's what Champ meant. But I still start with my PSR based on the CTE line, and I'm still visualizing and pivoting into the shot, it's just so quick on most normal shots that no one around me would be aware of anything unusual that I'm doing. But when I have a long shot, or thin shot, or even a critical shot, I slow down a bit, really focus in on the lines or bend down if I have to ala Stevie Moore to really see it and then pivot into the shot. Maybe eventually even those will become second nature.
So that's my 222 cents... Be happy to discuss more about my experiences or answer any questions.
Scott