Oh I'm not buying into any myths...but I think you and I envision different scenarios on how a home invasion would go down (perhaps?).
I may know jackshit when it comes to guns, but I know petty crooks who happen to know serious crooks...
Most fuckers try to get the jump on you while you're asleep...as in across the bedroom. They usually go after jewelery if you're a couple, cash if you're a man, and pussy if you're a woman. Light and easy to get away with. (If nobodies home they would probably go after the heavy shit like furniture and TVs).
But the distance from your pillow to the foot of the bed is what will separate you and a robber/rapist. Pretty sure the shotty is accurate enough at that distance.
Point taken on the pattern though...I've never shot anything with a short barrel before. I've used double barrel hunting rifles from maybe 30 feet away and IIRC it peppered an area with a radius of almost 2 feet.