Piecework (and Mechnical Turk!) probably makes more sense in an environment with Basic Income. That gives the employee a chance to decide if the effort is worth the $/piece without compromising on their health and welfare.
This isn't a downside of basic income, there is always a floor on the amount you can pay for labour. If you pay below what the market expects you are only going to get the truly inept to do it.
Monetary supply/demand is a tiny bit more complicated than that.