I only disagree with you on one point. Even a trained woman against an untrained man is at a disadvantage if there are no rules. A trained female Kick boxer, MMA fighter or BJJ fighter has an advantage if the man does not expect them to fight back. They had better choke them out or knock them out before the initial surprise wears off because at that point they are in danger against even an untrained male.
An untrained male who has no fear, is willing to fight anyone and only gets more violent if you hurt him, will destroy even a trained female. It is a mental state fueled by testosterone and adrenaline. We have thicker necks, heavy brows and stronger jaws. We have a stout bone structure and while women have a capacity to absorb pain, we are designed to take more punishment. We were designed to take blows that women are not. Oops that would mean men and women are really different!.
A willingness to fight back and be just as vicious as your attacker is a feral instinct. If a person lacks that feral instinct, trained or not, they are at a disadvantage when there are no rules. Does not matter if they are male or female.
That is all very true.
The other thing to keep in mind is that males have an inherent physical advantage over females because we have naturally produced steroids on board (Testosterone)...with both positive and negative aspects to that.
It makes men (on the average) bigger, stronger, and more aggressive. Just nature at work.