The following excerpts are taken from Sketches and Eccentricities of Col. David Crockett of West Tennessee, published in London in 1834. The author describes a Tennessee shooting match of 1831 involving Mr. Crockett.
"Forty yards offhand, or sixty with a rest, is the distance generally chosen for a shooting match. If no distance be specified, this is implied. In all their shooting matches, no ball is allowed to count which is not found within an inch. They use for patching, cotton cloth, and wipe their rifles after every discharge."
My guess the wiping of their bore was for accuracy purpose more then anything else.