Big. Heavy. Inaccurate. Clumsy. An answer to a question nobody asked, probably created by marketing.
Instead of a short cylinder with a short jump to the forcing cone of a 45 LC, we have a 2.5" or 3" cylinder to fit the 410 shotshell and forcing the 45 LC bullet to jump through the oversize cylinder bore and lose pressure. Plus the extra weight of the cylinder is not insignificant.
I wouldn't want to carry this gun as a CCW. You could carry a full-frame 1911 instead and have a better gun- faster to reload, more accurate, higher magazine capacity, lighter weight.
On a ranch or farm for varmints it wouldn't be too bad. As an anti-bad guy gun, would you really want to carry a 410 shotgun for bad guys? And if you load with slugs- not much better than 45 LC, and a nice DA revolver in 45 LC will be lighter, easier to handle, and more accurate.
Yes, I have shot the Judge, and have a family member that owns one. Not my cuppa tea.