I have the Short Rifle in 45 Colt that I use for cowboy action. Accurate, reliable, and fast. There is something satisfying about it's 'snick, click, snick' when you are working the action and they are quite handsome rifles with the casecoloring, nicely finished wood and metal and generally excellent fit. It always gets comments when I have it at the range where folks are not as familiar with CAS/SASS events.
Eventhough the 1873 was never chambered in 45 Colt, it works well in the modern rifle. I think one of the problems, perhaps lore but possibly real, was the rim of the early balloon head cases and straight wall design caused extraction problems. The extractor couldn't 'grab' the narrow rim reliably when BP fouling built up. I've read somewhere that there may have been feeding problem issues as well. Plus, the tapered case of the 44-40 or 38-40 formed a better seal against BP smoke blowing back into the action when it was being worked. The 1873 was chambered for many tapered/necked case rounds so that my have been a consideration.
I also bought a second Uberti when a local sporting good store sold out to a competitor and they cleaned out all of their stock at giveaway prices (an 1873 repro from Uberti for just over $500 is a give away price imho

). It is a 24" rifle also in 45 Colt. I wish they had had a 38/357 one but I couldn't pass it up even in that chambering. Maybe one day I can trade it for one.
Two cautions about them. One, because the toggle link action is inherently not very strong, do not try to push loads beyond what the rifle is designed to handle. Even with modern metals and manufacturing technique, it will cause them to wear loose quickly. They can be used with modern smokeless powder loads of course, just keep them in SAAMI spec (e.g. 14kpsi for the 45 Colt; those chambered in 357 Mag can be used with a standard 357Mag load. It is case head thrust that is the issue, not simply operating pressure). But in the 45 Colt, you can get some pretty impressive performance out of the old girl at standard load levels anyway. I'm sure the same with the 44-40. Second, they are somewhat sensitive about cartridge OAL for reliable feeding. Too long and you will try to shave off the bullet's nose, with predictable trouble. Also, it is widely reported that the lever tension screws on the bottom of the receiver are tightened and locked into place with Gold Kryptonite Loctite by Guido the Gorilla. This is true. Buy extras for when you bugger them up,
if you ever intend to loosen them and for most purposes you never will. Some cowboy shooters like to do so to get a lighter, faster action. Other than that, they are a fun and pretty foolproof direct connection to old west style shooting!