I think I disagree with the claim that this implies _no_ bodily autonomy. People are often compelled to do certain things -- you can be forced to go to court cases/jury duty/jail, to get a vaccines (if you want to attend public school), to stay seated on a flight, etc. These are reductions in autonomy, but I don't think they are complete eliminations. Mandatory military service for n years is a reduction, but I don't think an elimination of bodily autonomy.
That said, I do prefer true equality before law, and if mandatory service is required, I'd prefer to have mandatory service for _everybody_, not just men.