Your cartridge has the .32 S & W headstamp with an unmarked copper primer; the one in Suydam’s book is headstamped .32 S&W L with a copper U marked primer according to his description in the text. Unfortunately, the picture in his book is too poor to be able to positively confirm this, although it appears there is an ‘L’ between the 1 and 2 o’clock positions. Or, perhaps that’s just my imagination. Robert Buttweiler sold 8 of these in his auctions over the years, referring to them as the .32 S&W Extra Long, and in one case, also as the .32 S&W Special as Suydam had suggested. All of those he sold had the .32 S&W headstamp and a small copper primer. None of Buttweiler’s were described as having a U marked primer. Assuming Suydam’s description regarding the U marked primer is correct, it would appear that UMC produced these in both smokeless and black powder loads. I wonder if the variation in headstamps signifies anything - perhaps UMC or Smith & Wesson was toying with the idea of calling it the .32 S&W Long Special.
For what its worth, high bids ranged from $90 for a couple of the early ones Buttweiler sold to $20 for the last one - looks like pretty much everyone who wanted one had it by the time that last one was sold.