Not being contrary, just did the competitive thing for 35 years, so I have empirical opinions on such matters. As Blue mentioned, keep it simple and focus on just a few things that really matter. I would concentrate more on the trigger aspect first rather than sight focus. If you can't manipulate a trigger correctly what you see as a sight picture or focus doesn't make chit of difference.. There are a dozen different descriptions of what a correct trigger squeeze is, where to place the trigger finger etc, pay no attention to that crap, place your finger where it is most comfortable and practice trigger squeezes, pulls, yanks, whatever method you choose to get the pistol/revolver to fire with minimal movement of the firearm. If you can do that, your half way there.
I shot IPSC back in the day, then to Steel Challenge and USPSA then transitioned to competitive revolver shooting for the last 10 years of my competitive run, and of course the two trigger manipulations are way different between an auto pistol and a revolver, but they seek the same outcome, make the gun go bang without moving the sights very much. Don't strive for a rock solid, non-moving sight picture, it will never happen, but you can minimalize it a great deal with practice.
As far as sight focus; I always strived for the best possible shot in the shortest amount of time regardless of the distance. If the shots were at 6" steel plates at 15 yards, the focus was as close to the middle of the plate as possible, if it was a 40 yard precision shot in a bianchi X ring, the same applied, take your best shot as quickly as you can, regardless of the game sloppiness will never win.
If you make it a goal in practice, to only shoot as smooth and fast as you can make a good shot (hit), and do that enough times, you will indeed find you get quicker and quicker with time. Ive won many a match using my revolver, where most all others shot autos, and shot way faster than I was shooting, difference was I was making consistent solid hits and they weren't.