Tbf, on women's day men are expected to say "happy women's day" and maybe bring flowers. It's usually also more talked about in the news (at least mentioned).
I'm absolutely aware of the privilege disparities between men and women. I don't care about men's day. But it's quite an objective reality that men's day is less publicized and known. I think it is a bit of gimmick made up by butthurt incels/fragile masculinity anyway. Men's mental health issues are real but one day is not the way to fix them. But the point about it being known and discussed still stands I think.