I have found over time that the main culprit for me in screwing up my stroke is speed. When I slow everything way down it goes much better. I know others here I've said that, too.
So, back to this, you are saying that when you slow down the back and forth speed of your cue that it works better than using a faster back and forth speed? My experience is mostly the opposite, where if I go real slow I can see some wobble in my cue that is distracting to say the least. I have tried moving it real slow to try to make it smooth but can't seem to make that happen even by trying to force it, which tightens up my arm, which can't be a good thing.
I may well have some sort of body mechanics abnormality in my right arm that is having that effect. I am probably lucky that I shoot right handed due to the broken elbow and collar bone on the left side (from bicycle wrecks).
If I speed it up enough I no longer see any wobble, even tho it might still be there. The address of the ball looks correct and the CB does what it is supposed to and it all feels right. That said, I am pretty sure my stoke speed is still slower than many and I know it is slower than it had been prior to me re-engineering my stroke.
I spent a lot of time watching pros playing tournaments, online lessons and reading books and tried a few different approaches (pause just before the shot, don't pause before the shot and different styles) and ended up with very little pause and a somewhat shorter stroke. I understand the reasoning behind it but the longer pause at the end of the last back swing did not work well for me at all, causing the shot to veer.
I don't know but would suspect that there is no magic stroking speed that is right for everyone and that each player needs to find out what works for them. The results should tell you something.