Do you hear this in any of their work? I only hear it in "Rocky Racoon", which is one of my least favorite beatles songs as a result.
I can't say I'm a fan of Stones-style rock and roll. I'd prefer Led Zeppelin; much less caterwauling and more music.
Rock and Roll has key influence from both the folk traditions, and the blues ones. And in many ways, baroque and early music which influenced bluegrass.
If you educate yourself on American music from the 20s-50s you'll realize the true extent of the influence on the British music of the 60s and 70s. It's a lot more than Rocky Raccoon but if you're ignorant of country music you're not going to hear the guitar licks, drum patterns and vocal inflections that show up in many of the recordings by the Beatles.
There's no shortage of literature on these influences so how about we just leave any additional education on the matter to personal study, eh?
I see that easily, it's the folk influence I have a (harder) time with.
Led Zep are absolutely in the English folk tradition – distinct but related to the American scene – as well as the blues one.
And outside of Rubber Soul, "I've Just Seen a Face" comes to mind. What a brilliant song.
https://www.youtube.com/results?search_query=i%27ve+just+see...
"The band's heavy, guitar-driven sound, rooted in blues( and psychedelia on their early albums, has earned them recognition as one of the progenitors of heavy metal, though their unique style drew from a wide variety of influences, including folk music."
"The four played together for the first time in a room below a record store on Gerrard Street in London.[17] Page suggested that they attempt "Train Kept A-Rollin'", originally a jump blues song popularised in a rockabilly version by Johnny Burnette, which had been covered by the Yardbirds."
A lot of great rock-and-roll has come out of Britain... if you trace how it got there, it comes back to the same people Dylan is talking about (not solely, but the Hillbillies are there).
The Crunge is a James Brown tribute. When the Levee breaks references the American Blues tradition pretty explicitly (I'm going to Chicago). In My Time of Dying is an old gospel tune from Louisana. Dazed and Confused was a cover of an American blues tune, etc.
Clapton was a similar story. He's the first to say his biggest inspiration was Robert Johnson.
The Beatles had a much stronger US influence in their earlier work than their later work. They had multiple singles that were Chuck Berry covers.