What's interesting is that Bruce Lee was the guy who went around to different schools and challenging people to fights just to prove how good he was. Even punched (allegedly) an old Tai Chi guy who was doing a demo on a cable TV show.
Then he got humbled by Jak Man Wong, who wasn't anyone special other than some run of the mill Kung-Fu guy who worked full time as a waiter at a coffee shop. Wong said he was answering Bruce Lee's ad that challenged other martial artists to a fight. Not some, "don't teach Whiteys Kung-Fu, line in the sand deathmatch" made up to further the myths.
Then Bruce's movie career took off. Along with fame & fortune, came civility and playing nice for the cameras in order to keep and expand such fame. Similar (although not as bad) to Snoop Dog, Fifty Cent, etc... who were once drug dealers that corrupted and killed people...but cleaned up after they became famous and seeing the exponential gains attainable, compared to their former occupation.