> Most wars are fought by men, yes

Plenty of reasons for this other than feelings of empathy. Amusingly, history shows that queens are statistically more likely to start wars than men (not that I think this is particularly relevant to the question): https://qz.com/967895/throughout-history-women-rulers-were-m...

> Let me leave this for you

That's mostly behind a paywall; from the abstract I can't see how it distinguishes between experiencing empathy vs reacting to social norms or expectations of behaviour.