Skimming through said actual article, it looks like the "against men" hiring discrimination is ~completely driven by this:
"...In female-dominated occupations such as cleaner, childcare provider, preschool teacher, accounting clerk, and enrolled nurse, positive employer response rates were much higher for women than for men. This is in line with earlier findings in different countries..."
Which sure sounds to me like "employers try to fill low-status, low-pay, often-crappy female-dominated jobs with yet more females".
It takes a certain sort of mindset to react as if men were clearly the (sole) group being wronged by that.
(Or do millions of men quietly aspire to jobs cleaning up dirty toilets, dirty diapers, and dirty bedpans, and I'm just ignorant of their dreams?)