It so happens I keep several shotguns loaded and within relatively easy reach but mostly because I don't have room for them in the gun safes and because I can. An old Ithaca Model 37, a couple of Remington 870s, and an old H&R Topper single shot. I load #7.5 or #8 birdshot - and I doubt that if there was a home invasion I'd ever get to any of them. Which explains why I keep loaded revolvers handy. Those are at my fingertips. If I can't resolve a home invasion with a few rounds from one of my handguns I'd be very surprised.

Having said that, if I see a group of miscreants in front of my house and I THINK trouble is coming then I would have time to get the shotguns into play. Birdshot will stop them; buckshot will reach my neighbors' homes; I don't care for that concept.