Seriously, Bruce lee was an actor. A figure-head, an icon. The only competition I know of that he ever won was a boxing competition between 12 schools in Hong Cong. In the lightweight division. Against a french boy.
Chuck Norris on the other had, was a real fighter.
In 1968, he won the Professional Middleweight Karate champion title, which he held for six consecutive years. In 1969, he won Karate's triple crown for the most tournament wins of the year, and the Fighter of the Year award by Black Belt Magazine.
That's real, not special effects on a sound stage.
Lee was famous for pretending to fight, Chuck Norris was famous for winning fights.
Besides, Apple pays chuck Norris 99 cents every time he downloads a song.
And can you imagine how silly Bruce Lee would have looked in a cowboy hat?