In a way this gives a new meaning to the term "live music". Especially since this is an existing style of music: anywhere from Bowie[1] to more niche bands like Public Service Broadcasting[2] and Lemon Jelly[3].
First thing I thought of was another more niche musician (https://en.wikipedia.org/wiki/Robin_Rimbaud) who released a number of tracks in the early 1990s under the name "Scanner". Which, as the name suggests, was ambient music over recorded snippets of conversation picked over radio scanners.
[1] David Bowie - Space Oddity
[2] Public Service Broadcasting - Go!
[3] Lemon Jelly - Space Walk