Without going to extremes of length or weight, in general lighter shotguns, while fast, require more deliberate control to hit with. In my example earlier the extra barrel weight changed the handling dynamics from "flighty" to smooth. Simply easier to hit with because you can focus on the shot - not the gun.
As Phil Bourjaily put it: "...light guns are easier to move, but fast-handling doesn’t translate into more hits, or even more speed. Heavy guns are smoother and surer to the target. Light guns are flighty and harder to manage."
If we were talking about motorcycles rather than shotguns it might be phrased like this:
"...the bike disappears when you ride it… it’s just you and your will." George Hill