Still funny to old-time Brits to like myself. Peter Sellers was brilliant. Remember that the guy who produced this was George Martin who went on to become the fifth Beatle. I saw an interview with Martin where he said that the Beatles came to him at Parlophone after hitting a lot of bigger labels. Martin at Parlophone was best known as a producer of comic songs. Incidentally, listen to the actual song at the end of this track and you can see that someone was very much on top of musical arrangements. That's a good satire and a pretty good arrangement as well. Martin was excellent (as was Sellers).
My aunts and grannies absolutely hated this when I was playing this in the late 1950s. They saw it as sacrilege! Note the condescension towards the Tommy Steele-era pop star. The first generation of British Rock and Roll stars were not particularly respected.