The idea of rule by people who'd been appointed by drawing lots has been around for a long time.The Athenians had a version of it. And here is
a rather more recent book arguing the case.

It was one of the ideas floating about around what should replace the hereditary House of Lords in London - so thta there woudl be a House of Randoms alongside the Housenif Commons, rather than a second chamber with members appointed or elected. which were always being falsely presented as the only options available. But it's not an idea that professional politicians anywhere ever much like the sound of, strangely enough...