For some time, there were smokeless powder high velocity factory loadings of the .32-20 cartridge manufactured which were specifically intended for the Winchester Model 1892 rifle/carbine and similar stronger-action rifles, NOT for revolvers or Winchester 1873 rifles. There was usually some special headstamp marking to identify those, such as HV or M92. I don't believe that loading survived WWII very long. Should you run across any so-marked, it's not a good idea to use them in a revolver.

Any newer .32-20 ammunition you find will be OK in a revolver.