I don´t think so.
That someone is a good fighter, in my own opinion has nothing to do with race. I know two sophisticated and very sexy upper middle class black girls, that I believe that they have never been in a fight in their life, but if the terrible case that happened, that they were in one, I think they would lose terribly (just like me). In my own opinion this issue about who is a better girl fighter is due to three factors 1) socio-economic 2) violent attitude to find fights and 3) genetics.
I went to private schools where black girls also attended, and I never saw or knew of a girl fight in that place. When I went to public highschool, I found that there were often girl fights (many of them happened outside the school), most of the girls who insisted or provoked fights and who were fighting girls or bully girls belonged to the working class, I could say that almost in 90% of them, within that group of girl fighters the bast majority who usually won fights, were girls like butch or tomboy type,kind of chunky, chubby sometimes very skinny trim type, and that group had some whites, I think the same number of blacks and Latinas and some Asian girls. For example, the two girls who wanted to fight with me in highschool were white bitches, the tomboy type, and the two girls belonged to the working class. The same thing happened with my two beatdowns that I received in my college years, one girl was a super skinny legs white redneck bitch and the other one was chunky butch black girl, but both had two things in common they had violent attitude and willing to attack someone and both belonged to the working class.