This piece comes from a list of ten similar pieces compiled by Rolling Stone. They describe them as Mike Ness' "country-punk covers," although in this case it's just a honky tonk version of a song Ness wrote himself. Unlike the others in the list, then, it's not really a cover.
Speaking of Rolling Stones, that band did one of these things too. Here's their honky tonk version of "Honky Tonk Women."