If you think creating something means you must maintain it out of a sense of"responsibility", no amount of money can prevent burnout, unless it goes to therapy. For other people, money will definitely prevent burnout.

If I had UBI and could work on anything I like without being forced to work on a specific thing, the most I'd get is choice paralysis, not burnout. That would probably be similar for other devs. It wouldn't surprise me if a majority would immediately drop their current jobs if they could work on whatever they like and still get paid. Burnout would be rare.