This stuff is great. The host of "Jazz Club" is actually a musician, and wrote this article:
https://www.theguardian.com/music/2016/nov/11/john-thomson-l...
I'm an amateur jazz musician myself (in rural England), and the people I know locally who've seen these sketches also like them. But, when I've mentioned them to Americans they do not seem to be at all amused, and are sometimes rather offended; I'm not sure why.