I mean I know you're joking, but there's a definitely a solid biological reason to saving women before men. It's not really because they're "weak" (women are strong AF), but because they're the more valuable sex to keep "alive" your culture, nation, etc.
They nurture the next generation but more importantly, a bunch of them can quickly replenish your "tribe" in the face of mass casualties as long as there is even one fertile man left. There's a reason behind this long-standing rule of thumb, across cultures and time (including matriarchies).