Well.. Yes and no.
No shotgun receivers and Rifle receivers are not the same. IMHO, they should be it would eliminate so many problems and only increase costs marginally. Yes the BARRELS will interchange. (For the most part) But it is not advisable to put and fire a CF rifle barrel on a shotgun receiver.
Shotgun receivers (SB1) have had a larger firing pin. Some of these new 357 and 44 Mag handis are on a shotgun receiver (Also SB1s) but have smaller firing pins. So its a bit convoluted. In short, no, I do not believe you can get a 22H barrel fitted to a 12Ga receiver.
IMHO, it would be completely safe, but I do not believe that Remington will do it.
CW