To me (a Heathen), The Beatles are to Heath as The Stones are to Jake. I mean, I keep up with Jake's career, but I don't go over every little interview for nuance, or have his wardrobe memorized.
Really, it's like there is a multi-leveled pantheon, and The Beatles are in the top (or maybe second tier). The Rolling Stones are just one tier below, in a many-tiered pantheon.
BUT, as crayons just said, I have heard and heard and heard them Beatle songs, and rarely choose them to listen to (although this may largely be due to their music not being available on iTunes, since I don't own my LPs anymore). I did download about 12 Stones songs from iTunes. Which, you may ask?