Edit: Okay, wow. if the statement from a woman of “we owe you nothing” immediately sets you off emotionally, I would really encourage you to think through why that might be.
A more systemic phrasing could have been “we owe the patriarchy nothing”. I changed it to that for a second before realizing, again, that it was fine. A guy that has worked through internalized patriarchy around this will understand it’s not about them.
Patriarchy on the whole conditions men towards having a sense of entitlement towards women’s bodies, time, attention, labor, etc. It also conditions women that they should feel obligated to provide this without setting boundaries or expecting reciprocal solidarity.
Remember, we literally all have degrees of internalized bigotry, misogyny, racism, transphobia, etc because these are systemic issues. Our responsibility to ourselves and our comrades is to work through that. You are not a bad person for finding those brainworms in yourself, only if you refuse to do the work to address them.
I think their point is that it's not women's responsibility to fix the pathologies of male socialization. They disproportionately bear that burden because men won't talk about that stuff to other men.
Okay, so that's a clear and valid point. All I get from the poster is a #Girlboss vibe about how being asked to display empathy towards your family and loved ones is oppressive.