Looks like a little bit of Friedman slipped in... I know those college business classes and economics courses spew that shit, but really those neoliberal policies are exactly why the economy took a big, long, dirty shit.
Economists don't even really have a consensus on why the Great Depression happened. There are easily hundreds of Ph.D. theses on the subject. Hard to see how you have this one figured out so absolutely.
I think his point is that giving cash directly to the poor is more efficient, since welfare payments are means-tested. The minimum wage is not. But I agree that the political realities make the minimum wage a much easier sell.
Sure the minimum wage is means tested: it's tested by your means to get and hold a job. But your point is sound.