I would say, in my mind as a man, the actual winner of the fight has no bearing on who I chose to spend the rest of my life with when I am in a relationship. I am a grown man and can make my decision on life partners without needing to resort to the results of athletic contests. I very firmly believe in the equal value of human beings and would need to be with a woman who believes that too, and treats people that way so that I know that if I died, my children would continue to influence the world in positive manner. Also, I don’t want a severe difference in philosophy to give me the urge to undermine my partner if we did have kids, by having to tell them that I thought she was wrong and didn’t have clear thinking in major life questions. The most important things in my partner are her world philosophy, and how she treats me (supporting and taking care of me as much as I support and take care of her) and others.
That being said!!! (Pause for dramatic effect). I totally understand the urge to fight a woman who wants to attract your man! In the current system of monogamy, I understand that urge to physically fight when you both want the same thing. It happens in hockey tryouts, dream job competitions, etc. (any time in your life when it really feels like this one thing could make or break your life trajectory [even thought it likely won’t]).
Also, as a man with a fight fetish, I can see how a fight scenario could help a woman plant a hook in my mind by making me see her in an intensely sexual manner. Especially if she challenged another woman for me in a more womanly way (bumping tits, or going body-to-body/nose-to-nose and acting primally). For me though, 50% of all people in a fight lose, so the winning/losing doesn’t mean much to me. There will always be a rematch and changes along the fighters lives that influence the outcomes of fights. What does win me over though, is that my woman thinks that I am worth fighting over. Nothing turns me off faster than a woman saying “no man is worth fighting for.” There is just something so loveless about that indifference to losing that relationship to another woman to just say “if you want to leave, you can go, it doesn’t matter to me.” I would just never let my woman ever get to the point where they were trading blows, I would let the ex/intruder know who I was with and leave with them, exactly as I would expect my woman to do. IRL there are too many consequences to a fight; both physical and psychological for the fighters, to let it interfere in my relationship.
Summary: seeing a woman willing to fight is a turn on, but not big enough of a turn on to tip the scales of a romantic relationship.