Here is the history of the year introduced. The longer chambers will accept the shorter ammo:
32 S&W ..............1878 0.605" case, 0.930" OAL, 12 kcup
32 S&W Long....... 1896 0.920" case, 1.280" OAL, 12 kcup or 15kpsi
32 H&R magnum.. 1982 1.075" case, 1.350" OAL, 21 kcup
327 Federal .........2007 1.200" case, 1.470" OAL, 45kpsi
But also the 32acp is semi rimmed and will drop in and fire in any of these.
The hoop stress pressure from 32acp is nothing for even the oldest or wimpiest 32 S&W, because the inside diameter is small and the walls are thick.
This is tempting to do, because 32acp ammo is common as dirt and 32 S&W is very hard to find.
But that does not mean there are not problems with the 32acp substitution:
1) Half the old 32 S&W revolvers are unfit to shoot anything, as the timing is off.
2) Pre smokeless Iver Johnson break top revolver have a tiny latch pin that is captured by a thin piece of sheet metal with a hole in it. Shooting 32acp in these revolvers can stretch that hole into an oblong shape and make the latch top mechanism loose. My late father, the gun designer, told me that is because of recoil acceleration on half the upper mass and from bullet in barrel friction. I still have a hard time getting my mind around that.