Even if Buddy Holly had lived, rock music would still go into some remission from 1959 to 1963. You had the payola scandal, Elvis in the army, Chuck Berry in prison. Also, rock and roll was attacked by conservatives as evil or satanic. The popular genre would go to slower-moving "beach" music.
True, there would not be an OTL British Invasion, but the absence of the Beatles opens a lot of space on the record charts, in the stores and on the radio. In August, 1964, the Kinks will still be there to release "You Really Got Me" and set the progress of music back on track. Instead of an "invasion," you have a "trickle" across the ocean.
Remember, the Baby Boom begins to enter the campuses and the work force in these years. Higher fidelity music is finally penetrating the market. Rapid change is culturally inevitable. Different, but inevitable.