I hate to be a pain, but the Beatles drew on many, many influences, ealy Motown, Chicargo Blues, Country, English Music Hall, Paul's Dad, Johns Mum ............. which they were very keen to acknowledge.
Alexis was crucial to blues and rock. And so was Lonnie in a different way, he was charming and picked good songs. He also showed that music (in this case skiffle) could be played and created by us all. The second folk revival was greatly informed and powered by that egalitarian idea.
Martin Carthy stills plays the guitar (sorry a Martin) that he bought from Alexis Korner in the 60's.