> empathy is not a zero sum game.
But we are biased to empathize more with women than men, both women and men are biased that way. That is the core of "toxic masculinity", we need everyone to empathize more with men, but instead due to low empathy for men all they say is "just work on your own problems, it isn't that bad for you!!".
There isn't much you can do in that situation, the low empathy burden men are shouldered with isn't something society wants to deal with, neither the left nor the right.