You wont be able to shoot unmodified 32 S&W without changing the cylinder.
I reload for my Nagant using 32-20 brass but the rim is thicker on the 32s, I had to shave about .080 thousands off the base of the rim. Worked fine after that.
Of course witht he 32-20s being shorter you don't get the gas seal, but its not like you need a lot of velocity to poke a hole in a paper target.
CPT USAR Ret
USAMU Sniper School Oct '78
Distinguished Rifle Badge 1071