I can’t imagine the thought process that says “humans have had a visceral reaction to the killing of women and children specifically in war, across millennia and across cultures, but surely such thinking is obsolete in our generation.”
Some nations just won’t tolerate their men fleeing a crisis leaving women and kids behind, state or no state. Western Anglo/EU culture skews towards this, but not as hard.
Hence the broad support for them.
This sounds pretty much right at least as far as men vs women, though. If you truly want equal rights then that should come with equal privileges. Historically or evolutionarily, women were valued more in such a situation because they make babies - now, so what, we're clearly not running out of babies if you look at population trends. Either everyone fit to serve should have to stay or nobody should have to stay, not based on the circumstances of their birth.
All that's being pointed out here is that it can't both be the case that there are no relevant differences between men and women and also that a phrase like "women and children" is useful. You have to pick one.
I think most people even in America embrace a pragmatic egalitarianism where they think it's okay for women or men to be lawyers or politicians, but men continue to have a unique role when it comes to fighting wars or fixing power lines in the middle of a storm, while women continue to have a unique role when it comes to reproducing the species.
I think it's a small minority who think the difference between 1930 and today is solely due to us being more enlightened about gender roles, and nothing to do with the fact that the primary achievements of that age had to do with things like building thousands of miles of highways, while the primary achievements of this age are quite different.
Doing things for a long time is never justification for thinking about them uncritically.
In the same vein, something being old does not mean you can dismiss it out of hand. There is wisdom in thousands of years of human existence, and plenty of people have the hubris to dismiss it all.