Indeed! It’s my favorite, too. Oh, and I know it’s actually .45 Colt, but that name was taken and since my father-in-law still says .45 Long Colt, I went with that.
I have seen period Remington cartridges marked .45 L.C. and also .45 L.C. gov't., and also army quartermaster's ordnance orders specifying .45 Long Colt.
There was a reason for specifying the ".45 Long Colt" on the military stocking orders as the US Army had standardized on the shorter .45 S&W round which fit the more plentiful S&W .45 Schofield, that would also chamber and shoot just fine, if not as powerfully as the Colt round, in the .45 Colt. However, some officers had preference for the longer, more powerful, with a heavier bullet, .45 Colt round and ordered their quartermasters to make sure they had sufficient supplies for their use. Hence the use of the insistence on the order that it be filled with ".45 Long Colt," so the warehouse not fill it with the shorter .45 government round.
Remington in the 1884 through 1893 most likely marked some runs of cartridge cases and boxes to satisfy the government market for this quartermaster supply chain.
Later, after the intro of the .45 ACP (Automatic Colt Pistol), civilians found they needed to specify a difference to hardware store clerks when they asked for .45 Ammo. . . and it was natural to say, "Give me a box of .45 Long Colt" rather than argue about the difference between .45 ACP pistol ammo and .45 Colt revolver ammo with a clerk who often might not know the difference, so the ".45 Long Colt" slipped into the parlance of the language of SAA shooters and handed down from father to son to grandson.