The only Uzi (Postban) that's a pistol is the micro. A pre/post ban one of those is neat.
The Mini and Full size must be preban to be pistols, and never have been transferred as a rifle.
As soon as you put one of those neat stocks on it, with a pistol barrel, it becomes an SBR unless it has a 16" barrel.
So:
Preban or postban micro = Pistol. Weight is borderline for postbans. I've seen plenty of them here, though.
Preban mini = Pistol or evil featured rifle depending on barrel length
Postban mini = Rifle only and evil features apply. Butt ugly too IMO
Preban full size = Pistol or evil featured rifle depending on barrel length
Postban full size = Rifle only and evil features apply. Similarly butt ugly.
YMMV but my recent reading of AWB when I was looking to purchase a micro leads me to this conclusion.