The best thing about the combustible cartridges was their handiness.
The thing people didn't like about them was that they were typically under-charged with powder, which explains Elmer Keith's anecdotal remarks about the superior effectiveness of a ball loaded with a heavier charge of loose powder. The ball took up less space in the chamber than a bullet ( allowing room for more powder ), and the blunter profile of the ball made a better permanent wound cavity in flesh and bone than the pointy bullet which tended to push tissue in it's path aside rather than mash it.
During the Civil War, there were repeated complaints from the field ( Union ) about dishonest munitions contractors cutting down already meager powder charges in the paper revolver cartridges even more to cut costs on contracts they had with the War Department and various State Militias.
I am not convinced the average man anywhere in America carried a pistol, if he even owned one, on his person unless he felt a really pressing need to do so on that particular day. An all-steel gun is sometimes a nuisance, and always a burden to carry, as one goes about their daily routine.
Many didn't even own a gun other than a shotgun, and a surprising number had no gun at all. Even on the American frontier, as it moved from the Eastern seaboard west to the Pacific, one does not have to dig very deep to find accounts of whites killed by Indians or others of their kind where the victims were totally unarmed, even when living in or traveling through known dangerous areas.