You will hear more Led Zeppelin songs on traditional radio today than you will disco songs over the next month
Also, you'll find more Stones on the radio and any juke joint Jukebox than the Beatles. Plus the Stones hits have been included in more movies than I can count...even if only snippets.
While the Beatles were doing bubblegum "I Want To Hold Your Hand" and other souless crap, the Stones came out the gate doing covers of Muddy Waters and other original blues artists with their own arrangements. Then they hit big with their own songs, "It's All Over Now" and "Little Red Rooster". In 1965 came "I Can't Get No Satisfaction" and on to the greatest rock n roll band in the world.
The Stones and their manager wanted to be the antithesis of the Beatles by being the bad boys of rock. I'd say they accomplished that goal.