Jesse Marczyk in Psychology Today:
In the somewhat-recent past, there was a vote in the Senate held on the matter of whether women in the US should be required to sign up for the selective service – the military draft – when they turn 18. Already accepted, of course, was the idea that men should be required to sign up; what appears to be a relatively less controversial idea. This represents yet another erosion of male privilege in modern society; in this case, the privilege of being expected to fight and die in armed combat, should the need arise. Now whether any conscription is likely to happen in the foreseeable future (hopefully not) is a somewhat different matter than whether women would be among the first drafted if that happened (probably not), but the question remains as to how to explain this state of affairs. The issue, it seems, is not simply one of whether men or women are better able to shoulder the physical demands of combat, however; it extends beyond military service into intuitions about real and hypothetical harm befalling men and women in everyday life. When it comes to harm, people seem to generally care less about it happening to men.
More here.