Maybe for you (and others), the fight analogy has relevance on your relationship dynamics, but it definitely is not something that really plays any role in mine one way or another.
Sorry if you took that as an indication I suggested combat as a way to resolve relationship dominance or any other conflict.
The relevance of the thought was derived as follows. Just as defeating a highly competent opponent (whether in sports, combat or any other contest) gives greater pleasure and status, being the dominant to a more impressive partner (whether smarter, larger, more attractive or any other characteristic) would bring increased pleasure and stats.
So my thinking was, the more naturally inclined to dominance a person was, the more they might be motivated by the challenge of dominating someone that represented a greater challenge.
I was thinking much more along the lines of why would someone climb Mt Everest than "if I can punch you out I should be in charge".