You’ve not only nailed it, but brought something up I don’t see enough of. You can see this very thing in a broader way socially too. Look at who the social workers are, and who the clients are at most social service agencies.
Men take their pain and anxiety and turn it into anger and violence. Women internalize it instead, turning it into self-harm instead of outward harm. I think both can learn from each other: men in learning to cope and accept their feelings, and women realizing that they don’t always have to carry that burden at their own expense.