I think you're asking 2 separate questions.
One: Are the different barrel lengths inherently the same accuracy wise? Theoretically they should be, in real life there are other factors that enter into besides barrel length.
Two: Is the shooter capable enough to take full advantage of the inherent accuracy of the gun? A big maybe there. Sight radius being the big factor, as well as balance, recoil, etc. being factors that can be overcome with practice.
There are 3 things that a shooter should be focused on: Accuracy, Precision, and Consistency. Consistency (of hold, stance, breathing, trigger control, etc.) should be the first concern; Precision (tight groups) is second, and flows from Consistency; Accuracy (POI=POA) is the last concern. If the first 2 are conquered, Accuracy is easily achieved thru sight adjustment.