Greetings, Piso Mojado.
I do feel there is a difference between the 'Drunken Master' theme and my 'mystery track'. Actually, the Drunken Master theme is, as you know, a variant of an ancient song. The song is Jiang Jun Ling (General's Mandate, or General's Order). The reason a variant of Jiang Jun Ling was used in Drunken Master is because the main character, portrayed by Jackie Chan, is the legendary historical master of Hung Gar Kung Fu, Wong Fei-Hung (Mandarin: Huang Feihong).
Wong Fei-Hung was originally portrayed in a series of movies by legendary actor Kwan Tak-Hing, who played Wong Fei-Hung from 1949-1970, as well as portraying him in later movies outside of the series, likely more than any other actor has reprised any role. Kwan's Wong Fei-Hung was always extremely strait-laced. Jackie's Wong Fei-Hung was an irreverent spoof of the character.
In the original Wong Fei-Hung movies, Jiang Jun Ling was the main theme, albeit a much slower version than the later Drunken Master version. The newer, faster-paced version was used in Drunken Master because the song had become associated with Wong Fei-Hung, but it wasn't originally associated with Drunken style. There are literally countless renditions and variants of this old song.
There is also what I consider an 'in-between' rendition, which has been used in the following movies:
Challenge of the Masters (1976)
The Magnificent Kick (1980)
New Kids in Town (1990)
And many others, possibly including later films from Kwan Tak-Hing's original series as well. Here is that version:
The reason I strongly believe my mystery track is from an American western, besides the sound of it, is that in at least 2 or 3 different kung fu films, it's been used together with another track, which leads me to believe they are from the same original soundtrack. In Super Power, the 'mystery track' is heard at 15:40 and again at 43:25. The other, associated track is heard at 17:20 and again at 47:39, and it also sounds like it's from a 1950s or 1960s-era American western. I once thought it migt be an instrumental variant of 'Happy Trails', but it's different from that. Chou Fu-Liang also compiled the music used in Super Power; the main theme he used is taken from The Ten Commandments (1956), by Elmer Bernstein:
Jim