My info is a little dated, but a Fed database I used to access had a 98 % one shot stop rate for all shotguns, regardless of gauge or load. Most defensive and LE use of shotguns is at close range.Thus, a skeet load of 9s for the 410 is the tactical equivalent of a 10 gauge 000 load.
I'm unsure 000 is the best choice for HD, especially if you like your neighbors.
Overpenetration's a serious issue, and use of another round that reduces(but does not eliminate) that possibility may be a better choice.
One correspondent from days of yore reported excellent results with the Federal 3"Mag 000 load, but it's not a R/R load. There may be a niche here that's left unfilled.
I would like to hear more about a R/R load in #4 buck. The FBI did exhaustive tests on all buck before adopting the standard #4, and all the agents I've known like it.
In your shoes, I'd try a few buck loads in 4,3,1, 00 and 000 and see what patterns best from your shotgun, then buy plenty of that load, for when you need a good load at more than HD ranges. Probably, all else equal, the 000 will pattern best or close to it.