Not at across the room distances. At across the backyard distances maybe yes.
How many single rounds are necessary to stop three, four .. five home invaders? At least "that many". How many females of average stature, or elderly people, can effectively shoot a 12 gauge faster and for the desired effect across a large room, down a hallway or staircase than an AR?
I have used Federal low recoil 00 Buckshot with flitecontrol and can generally score all 9 pellets on the 8 ring or better at 25 yards with my 12 Gauge Mossberg 590A1 shotgun. I don't advocate the shotgun is necessarily the best home defense weapon for a particular person and their situation. I do think, round for round, that the shotgun can be hard to beat for close range situations.