I would like to see the name on a shotgun, too, but I don't think it's likely for a couple of reasons. First, seems like S&W's attempt at shotguns a few years ago (remember the 916?) didn't go too well. Can't recall if they were domestic or not. I seem to recall that Smith stamped their names on some better ones put out after that, IIRC, but they were not utility grade. Second, the trend is and will likely remain the AR platform for LE which, obviously, they are on board with) for a lot of good (and some not as good) reasons. Third, I think the police shotgun market is pretty well taken care of with the 870 and Benelli.
But I'm not in marketing...