Several people have sent this video to me:
I have to admit, I was baffled by it, but assumed that it was some sort of Soviet television entertainment for which I lacked the context. However, I learned a lot more from this fascinating blog post by Justin Smith.
An Ergodic Walk 
What is baffling about this video? It is a different style from what we are used to hear, but it is clearly meant to be taking seriously (even without knowing the context), and the guy has a powerful voice. He is a better singer than most current singing celebrities in the US, for instance.
Well, I was baffled by the lack of context for the song. His expression is so strange, the lip-synching is so obvious, and there is no audience etc (as there are on other musical shows I’ve seen. So in any case, I was confused as to how I was supposed to take it.
Clearly on YouTube the responses are mostly “that is so hilarious!” Thanks to the link above I know a bit more about Edward Hill and the vokaliz style.