I'm growing less and less convinced in the twelve-inch minimum for most personal defense at home ranges.
At least in my case. There is no place in my home I can shoot from over 7 yards.
I'm more a believer in volume of wound. Smaller holes need to penetrate deeper to achieve that and assure something important gets hit.
In my situation, there's plenty within six inches of the surface if you have enough holes. In my apartment, birdshot would suffice, or turn a limb useless.
That doesn't mean I'd load it up instead of 00 or even #4, if I had the choice.
You misunderstand how penetration and gel measurements work.
6" of penetration in bare ballistics gel is NOT equal to 6" of penetration into an attacker. Skin is a lot tougher than the other squishy tissue/organs and counts for, from what I recall, several (as much as 4) inches bare gel penetration. Then there is the variability in clothing and do you really think you are guaranteed to shoot your attacker as if they are a paper target standing upright at the same level as your firearm, shoulders squared off facing you, with nothing in front of their chest where you land the perfect shot?
In the real world you might be shooting through heavy clothing, through an arm or arms extended in front of the body, at an angle that means through an arm or arms or lengthwise through the torso to hit something vital.
Somehow I get the impression that you're thinking of individual pellets, without considering the effects of a whole mass of pellets striking at once... even over a (say) 6" diameter circle. Almost instantaneously.
At what distance does your shotgun produce a 6" diameter pattern??