It's counter-intuitive, but many things in life are counter-intuitive but true nonetheless.

I linked you to a piece entitled "Why Does the Minimum Wage Have No Discernible Effect on Employment?" that describes eleven reasons why it is absolutely correct that there is no relationship between the minimum wage and unemployment. Here's a picture for you of the lack of correlation between state minimum wages and state unemployment levels:



The R-squared is 0.002, meaning no correlation whatsoever. This is inarguable ground truth. You can try to find alternate explanations for it, but you can't wish it away with platitudes about supply and demand.