With really tight cotton patches on a jag, when the barrel is dry, you will get grey streaks on the "last" patch. The grey is iron oxide pulled off the steel, not BP fouling. Left outside overnight, that ironoxide
will be red-rust in the morning.
After cleaning the outside of the barrel is wiped off with a towel just for that purpose.
Then, doubled flannelette patches are run down and back out the bore until dry.
After the last drying patch (usually 4th or 5th) I liberally spray WD40 down the bore until it runs out the vent or nipple seat. Then a doubled flannelette patch (jag is sized to use doubled flannelette) is run down the tube to blast out the excess WD40 - up and down several times, then removed.
The drying patches can be dried and used several times. The cleaning patch, usually only one needed, it tossed.
All my barrels are removed for cleaning. Long delicate tang'd barrels would be cleaned on the gun using the ROUNDPICK and filling the bore with water - then flushed repeat several times before drying, then WD40, then that flushed and wiped down and replaced. That will use up a LOT more patches. When removing the barrel for cleaning, at most 6 patches are used.
The WD40 patch comes out simply wet, no fouling, no grey or black streaks & the barrel is wiped down with that patch then replaced.
Locks are cleaned with a toothbrush, dried off, then blown off with compressed air or set in the sun to dry completely, sprayed liberally with WD40, shaken off, wiped and replaced. The moly I use
for lock lubrication on the bearing spots, lasts about a year - then is replaced as needed.