Yes, but damned if I can tell you why!
I had (at least) one each of all the (Pre-war) N frame targets (and a Registered Magnum) in my collection, and the two .45's, an Outdoorsman, and a .44 4th Target from the Post-War period. The two .45's because they were actually used in match competition, the Outdoorsman because there was a Pre-war version, and the .44 for the same reason. As best as I can recall, that little rod was in one of them----don't remember which.
That said, I clearly can't say it wasn't in any/all the others when they left Springfield; but if they were, a previous owner saw fit to leave them out---and I can't recall ever seeing one in a K frame------and I had at least one each of all of those (from the 1902 Targets on to the end of the 5 screw Targets)---all of the .22's/.32's/.38's.
Ralph Tremaine
And now, thanks to Superman, I CAN tell you why! I suppose if I were a serious shooter for a good bit longer than I was, I'd have known that!