And Khajiit and Argonians have to get plastic surgery every few years.
Plus all citizens are required to have undergarments surgically attached to their bodies and having children is forbidden, it's the Empire's solution to overpopulation.
But to be more serious, I don't get the impression that the Empire does much to control the trade and possession of weapons, players being able to carry around weapons in towns, of course, might just be for gameplay convenience, but NPCs also seem to get away with having weapons in their homes or on their person, and stores that sell armor and weapons can be found in every city, it seems like as long as you keep them sheathed, nobody cares.