Add Macca's double thumbs up salute and the Frog chorus and you have no case for the Beatles being cool.
The Frog thing was truly appalling, but it wasn't by The Beatles. Actually, I'm a John girl. Mostly found Paul's songs to be too pretty-pretty. Having said that, I remember being in Dorothy Perkins in Western Road one Saturday. They actually had a juke box in there. The most fantastic song was playing. I'd never heard it before. Rushed to juke box to find out what it was, and immediately marched along the road to Woollies, and bought Hey Jude. If you're talking cool, John was much cooler than Paul. Ringo was only cool when he became Thomas the Tank Engine.