.410 not in a Judge,....for SD,... yes, of course it would work. But there are options, the Rem and Mossberg 20g. or the new lighter recoil 12g.
This was posted before, but pistol grips are good for healthy hands, and strong arms, those with weaker, smaller hands, or have health issues benefit from even a coach's gun. Short, but still the support of a shoulder stock. and can always be fired from the hip if necessary. Recoil, and an "unorthodox" shooting stance can leave you in a lurch shooting with a pistol grip. Great for Tac teams sweeping a house, but for SD consider all options.
The 12g/20g, is also fantastic, for your "last stand/safe room" line of defense. Those that call 911, and as MB and Rob preach, draw your line in the sand, i.e. bedroom, kids room, it is without question suitable.
In that scenario, a traditional stock is more stable, controllable, and less felt recoil, in case more shots are needed.
Just my .02 cents.