Marketing
I don't particularly like either of them. But that's just me.
The Judge will not chamber 454 Casull or 460 S&W Magnum. There is a .454 sized tube in the chamber just past the length where a 45 colt case ends. So it won't take a longer piece of brass than 45 Colt (but it may take a 444 Marlin -- but that .429 bullet won't seal in a .451 tube).The bad part about the long cylinders is that it will probably also chamber .454 Casull and maybe other cartridges that will turn the thing into a grenade. Not everyone reads their manual and/or understands how stuff like that works.
I bet you would not want that gun pointing at you with any load including bird shot.
Concealed carry? Nope, too big and bulky.
Hunting? Nope, there are better guns for that.
House defense? Nope -- a real shotgun is the choice there.
Fiddlin' around at the range? Well, there you have me. If it's fun you want, I guess the Judge is as good as any.
I recall seeing the judge sold as an anti-carjacking handgun?...
Maybe is was just some product literature or a commercial or something.