If you're talking about casual users, then maybe the heavy 12 Ga with FC low recoil is the fast, easy and effective answer.
For those folks my opinion (?!) says a shotgun isn't their best option anyway.
But there is a small but active number of folks who have and shoot 20 Ga (and 12 for that matter) with very good effect using relatively cheap store bought ammo/handloads with the choke their gun likes.
As great as the FC wad is (and it is), it is not the end all of shotgun patterning with buck to those who have the time and ability to dial in a good buckshot choke/ammo/gun combination. Especially if they shoot ammo in volume and want to practice with their real-use loads.
Not to even mention Vang Comp.
I shoot 12 Ga but know people who would not give up their beloved 20's for love nor money and they are VERY effective in buckshot/slug land with those guns to long (shotgun) ranges, but they have put in the time and effort to dial in what works in their gun.
The East coast guys that hunt with buckshot have done a large amount of testing of chokes and ammo (at fairly long shotgun range) have made it easier to shorten the experimental phase for the rest of us.
My opinion is that neither a revolver (specially a small one) OR a shotgun is the better choice for casual shooters outside of very short range, both require a bigger & more often time investment to make sound hits than a carbine or a high capacity semi pistol.
But most gun forums are populated with folks who make that investment.
OP's take of "all pellets in the chest inside the home" just doesn't apply to a lot of people who regularly clock predators outside at night. Anyone who's inside my rural home as already killed several very good, very protective, very loud dogs and I'm awake and armed before they can get anywhere near an outside door.
I understand the urban or suburban life is way different. But 20 Ga rocks for many.
My opinion so take it or leave it : )