I'm totally on board with people wearing whatever, it's a free country, but equating political rights with social norms is a false dichotomy.
But one begets the other, no? See also all this noise from TN and FL about crossdressing being a sex offense. People are more okay with women looking masculine than men looking feminine, and now we're seeing laws that reflect that.
Similarly, because men aren't viewed as nurturing or whatever, they're far more likely to lose custody cases in court. There's absolutely tight bindings between political rights and social norms, and similarly I think there's a lot to be learned from the contrast between men and women's distinct challenges.
I disagree with the headline that "the left needs to talk about it" because fundamentally we do every day. The problem is that men tense up when we talk about things like "patriarchy" and "feminism", despite every piece of literature that explains that patriarchy and traditional (toxic) masculinity are actively harmful for men too. So men aren't listening to leftist talk about these issues and need to be baby-fed them using different words.