Women having a different system for coping with stress may be because their response evolved in the context of being a primary caregiver of their children
When the stress response is repeatedly activated e.g in ongoing chronic stress, cortisol may assist the body in fighting a viral infection or healing damaged tissue, however too much cortisol suppresses the immune response, shutting down the very process that fights infection
The advantages of the freeze response for humans is that it focuses attention and makes them look for new information in order to make the best response for that particular threat