I will have to respectfully disagree w not being able to hit a 10 inch circle imagine shooting a rifle using this analogy no one would ever kill a deer past 100 yards due to the blood in their shoulder? Just shoot a few targets from your knee which I often do and you will realize the center of your pattern is never more than an inch or two off even w my 870 that is still just a front bead. Today's modern guns are more like shooting a rifle and on a moving bird you fortunately have abt a 20 in halo that will still put that bird down.
IMO the ultra tight patterns pose more of a threat at 20 yards and in when a bird is moving at 15 yards you pattern looks like a softball making a clean whiff much more probable than at 40 with today's guns.