I never thought they had much in common, but ...
I JUST noticed (as I went to the piano to play Sexy Sady) that the chord progression on John's bridge is chord for chord the same as from Paul's melody ... even the same key!
It's not like it's a really common progression (like blues or that 50s stuff), I've always thought of it as a Paul thing, and not noticed it elsewhere.
Not that it matters, and this really doesn't change my opinion of John as a songwriter obviously. I just wonder what might have been said, or looks given, as John demo'd the song for Paul and the others!