The Beatles' catalogue had to be broad as they are probably the only group ever who had to appeal to everybody, as everybody knew who they were.....primary school kids, secondary school kids, mum, dad, gran, grandad etc. etc. The Stones' (the wonderful Stones) market was far more concentrated, and was engineered to be by Andrew Oldham.
That's why it's slightly ingenuous for the knockers to pick on songs like 'Ob-La-Di Ob-La-Da', 'Octopus's Garden', 'When I'm 64' to criticize the group, and then perceive them to be 'not rock 'n' roll' or some such tosh. Try 'Slow Down' if you want rock 'n' roll!
The hardest thing in the world to be in the mid-60s was John Lennon or Paul McCartney.....when they put forward their new compositions, they knew that most of Europe, America, the Far East and Australasia would get to hear them, and in those places, ALL genders, ethnic groups and generations!