It would be interesting to see how many guys here could look at a shotgun from 6 feet away, or even hold it in their hands, and know at a glance if it had 27" or 28" barrels without actually using a tape measure.

Barrel length is but one of many factors that may have an effect upon the ability of a shooter to regularly hit a moving target. Guys have mentioned other factors like balance and dynamics, moment of inertia, gun weight, and choke boring. But nobody mentioned gun fit, which I feel may be the hardest thing to overcome while attempting to hit a fast moving target, if it isn't close to correct.