32inx3,
Without the strap, your cap is the same as any other '32 locking hubcap, especially given that in your photo your cap has the filler plate attached referenced above by deuce lover. When the locking cap was introduced in mid-September, 1932, it came configured like your cap as shown in the illustration from the November, 1932 issue of the "Ford Service Bulletin" (which I am temporarily unable to attach).
I've had a lot of '32 locking caps over the years, B and V-8 versions, and all are configured this way. Obviously the design anticipated the addition of a strap as an alternative, but such a strap was not released until the '33 model year. (Given that Job #1 for the '33 model was in February, 1933 in North America, it seems reasonable to assume that much of the engineering work for the substantial changes that were involved with the new model was well under way and in those instances were hard tooling was involved, likely completed, by September of 1932.)