Early rock - in various degrees of dilution - wears its black roots very clearly.
The Beatles may have started out playing Chuck Berry but around 'A Hard Days Night'/'Help' it's the songs that draw on a more 'European' harmonic or melodic tradition that are best remembered. Whether this came from the American songbook or the 'light music' of the 60s era, I've no idea. But I think it's what sets them apart from the generlly blues based nature of most pop/rock at the time.
Of course they frequently directly referenced their love of black musics - everything from 'Got to get you into my life' to 'Get Back'. But your 'Fool on the Hill's and 'Penny Lane's come from somewhere else.
My Dad - a great fan of light classics, Vera Lynn, Sinatra etc - hated pop music and hated soul/gospel/blues type sounds (without knowing what they were). All he heard was screaming. Yet he loved many of the Beatles songs. They connected with the tradition he was used to that was pre-rock'n roll. And as a ten year old with little conscious awareness of music I immediately loved things like 'Hello, Goodbye' where Motown left me unmoved - mainly, I suspect, because the former fitted with the Radio 2/MOR/Rogers and Hammerstein musical world I grew up in.
The magpie nature of their music certainly gave it great range and variety - the string quartet sound on 'Eleanor Rigby', baroque trumpet on 'Penny Lane' or avant-garde sounds on 'I am the Walrus'.
One 'magpie' example I never realised until recently was 'Lady Madonna', which was based on Humphrey Lyttleton's 'Bad Penny Blues' - an example where the black influence is clear in the boogie-woogie piano, though the middle eight seems to go somewhere else.
Valid and well informed comment.