Your experience is similar to mine in the early 1970’s when I was a teenager.
I gave up shooting percussion revolvers in the mid 1970’s because of the grease mess that would cover the outside of the gun and get in my holster after shooting a target, or rabbit or groundhog if I did not also carry a wipe rag on me to clean the gun off after a shot.
I had been brainwashed by so called experts who vociferously declared that smearing grease over the chambers was the only way to avoid the” dreaded “ chain-fire.
About 20-some years later, upon further thought mixed with some research, I figured out the the so-called experts had no historical basis at all for the greasing. They were only repeating what other marginally knowledgeable shooters in modern times told them. I also knew there were no known contemporary references, written or verbal, that mentioned percussion revolver carriers ever carrying tins of grease with them for lubing revolver chambers.
So, being the practical sort, I took up shooting percussion revolvers again. A LOT. With 5 or 6 guns, using only greased wads between powder and ball, or sometimes no wads at all. No grease over chambers.
20 years and thousands of rounds later, no chain-fires or bore obstruction damage to any barrels from wads-nothing. And the outside of the guns and my holsters stayed much cleaner.