OK, so points divided by time. The KKM isn't going to reduce your time, so let's look at points. You have steel and paper, and steel needs to fall.
In most situations, we're talking about something on the order of a 50 square inch high scoring surface at a distance out to 20 yards. Many of the targets are more open than that, and a few of them are more restrictive. A 30-yard USP is probably about the limit for most club matches.
It's also worth noting that some of the scoring surfaces are geometrically irregular, like diagonal hardcover or danger targets. So what's really being tested is your ability to bring the gun to proper POI rapidly and manage splits and transitions under stress, maybe in awkward positions or strong/weak grip.
On mechanical accuracy, we're talking about a gun that groups about 1.5 inches at 20 yards vs. maybe 1.2 inches at 20 yards. Ya, that's better, but what does it really have to do with how many charlies you shot on a stage, or whether you had make-ups on steel?
I've seen plenty of situations where shooters (including me) aimed basically at an A/C perf and shot 2 alphas, where they would have gotten two charlies with a more mechanically accurate gun.
On very tight/stressful targets, trigger and gun weight make way more difference than the kind of mechanical accuracy delta considered here. And in all cases, what really matters most is how well the specific shooter can manage the gun in his hands.
If you can't properly focus your attention on trigger press under stress, your sights will probably move on the order of 6 inches at 20 yards during firing. If you can, they won't. That's where the action is in terms of precision in practical pistol.
And at the speed end of the spectrum, it's about knowing where the sights are as the gun is transitioning around and flipping, or as the targets are moving.
Such a barrel always requires fitting to the specific pistol.
