Most artists with regular output do not. The problem with a day job is it takes away from what a person can produce. For example, a content creator (i.e. YouTuber) with a day job is lucky to get out one-two videos a week. A full time content creator can produce one to two videos a day, often with better quality since they can focus on the work.
Youtube content creators are a good example of people monetizing art without the need for copyright. Donations and voluntary funding are key parts of the content creator world already. Copyright is not particularly important unless they are getting strikes from a copyright troll.
This already happens today (Linus with his tech tips is only one example); without the ability for creators to fight back, it would only get worse.
EDIT: That this is unpopular doesn't make it wrong. Even beyond the (currently) illegal reposting, there are lots of rights aggregators who pay viral content creators, and re-sell their content to TV channels (Chive TV, anybody?). The "pay creators" part goes away if you take away copyright.