FWIW, it's exactly what I've heard when talking to Uber drivers in London. One guy used to work as a minicab driver; he prefers Uber because he can choose his hours, doesn't get cut out of lucrative jobs to the benefit of the company owner's nephew, and feels safer at night due to the rating system.
There will clearly be fewer driving opportunities if a minimum wage is instituted. There's an economic cost to be paid for price floors. They invariably increase the amount of supply left unutilized. If they didn't you could increase aggregate-demand/GDP simply by raising the minimum wage.
There is a substantial cost to society in subsidizing low paying companies by making it possible for people to survive well enough on these low salaries that they are willing to take these jobs too, in harming companies that innovate in other ways in favor of companies that exploit the opportunity to offer low pay.
We're incentivising companies to squeeze salaries instead of innovating. To me that is the exact opposite of what we should do. If anything, minimum wage should be pushed higher and higher at above inflation, as an incentive to invest in labor saving measures.
There's no reason why we should encourage wasting human capacity by making it easy to exploit people for low wages.
(Yes, this would mean dealing with unemployment by e.g. reducing working time and/or basic income variations or similar)
