Take a look at the earliest few ads in the data base in particular the 1922, and first few 1923 ads, and tell me that these aren't all what would be, or could be considered "Unisex" watches. To me they all appear frilly and not what anyone would consider "masculine". In the readable script or descriptions they don't seem to make a distinction of any sort, one way or the other.
Since these are the earliest ads we have at this time, and since this was Bulova's wristwatch start up period do you think it's possible they just put these out without a gender distinction just to sell watches to anyone who would buy based on their own taste?
I seriously doubt ole Joe only started with Ladies watches!!