all of these assumptions miss something so huge that it surprises me that so many miss it: WHO is doing the art purchasing? WHO is evaluating the "value" of... well... anything, really? It is us. Humans. Machines can't value anything properly (example: Find an algorithm that can spot, or create, the next music hit, BEFORE any humans hear it). Only humans can, because "things" (such as artistic works, which are barely even "things", much more like "arbitrary forms" when considered objectively/from the universe's perspective) only have meaning and value to US.
> when we will all be killed off by our robot overlords
We won't. Not unless those robots are directed or programmed by humans who have passionate, malicious intent. Because machines don't have will, don't have need, and don't have passion. Put bluntly and somewhat sentimentally, machines don't have love (or hate), except that which is simulated or given by a human. So it's always ultimately the human's "fault".