You should also consider whose had the power, who makes the most money, has dominated over industry, perpetuated ideologies that create war, and who created the economic game that prioritized possessions over the nuclear family to push women in the workplace.
Being sent off to war and having more funding for healthcare (which, btw, is because women give birth and have physical bodies that demand more medical attention AND they make less) are not particulars that build a narrative. Patriarchy is the metanarrative that describes the world in its most fundamental way. Men dying more in war is an outlying factor, but the cause of this effect certainly isn’t. But patriarchy makes sense of a whole web of particulars that, I think, history, sociology, and social theory back up. In the end, power is the metanarrative... and interrogating reveals WHO has it and who is most likely affected by it.