FWIW, I don't think any of the .32 Safety had the S&W logo on the frame.
I think the addition of a logo coincided with a certain year/model change rather than with certain calibers. Both 32s and 38s eventually got logos, for both the DA models and the new departure aka lemon squeezer revolvers. I don't know when it was specifically, but I know that any of them with a logo are not an antique. Any of the EARLY variants of these models would not have the logo. The gun in this thread is somewhat early in that its a 1st model, and its very likely an antique.