'Wasn't even the best drummer in The Beatles'

The quote about Ringo not even being the best drummer in The Beatles is widely attributed to John Lennon, and almost as widely corrected to in fact being a Jasper Carrott joke from 1983.

But I've just heard it today in Radio Active, the 80s Radio 4 comedy, series 1 episode 5, first broadcast October 6th 1981.

So JC might have borrowed the joke from them; or perhaps he wrote it himself prior to that date, let them steal it and then refrained from using it himself for another 2 years; or perhaps they both heard it from an an earlier, as yet unknown source (Pete Best?)