Ah sorry I was taking you seriously when you said "real question", I didn't realize it was a rhetorical device. The history of the minimum wage is pretty irrelevant compared to the economic models and empirical studies in that article, I'm not going to engage in such a pointless distraction. If the Nazis invented building codes I would still support them based purely on whether they are a good idea or not.

But you seem to be missing my point on housing code: do you support a nonzero housing code? Some is good, too much is bad. Same for minimum wage, many models and analyses show that some minimum wage improves productivity and counterintuitively increases employment in monopsonistic industries up to the point when they (partially) undo the damage the monopsony caused, at which point obviously a further increase in minimum wage causes damage as you say. My point is that your "real question" (which was an argumentative point in disguise) works rhetorically against nearly every intervention, some of which you certainly support (I tried to pick an obviously good intervention and came up with building code), and thus is a weak argument. If you truly support no market interventions I at least respect the internal consistency of your worldview but think you must underestimate how much food poisoning, fire death, servitude, etc it would cause.