i don't think going to the ground is so much a bad thing what is bad is staying there and trying to fight.
I think the fight can be finished on the ground, just not in the way perhaps modern MMA practioners would attempt to do so. Again time is a limiting factor, its unclear just how much time you might have in order to conclusively elminate your opponent on the ground. I think we need to realize the differences that A) having a knife B) fully willing to eyegouge, bite and fishhook C) willing to kill your opponent, add to the dynamic of historical ground fighting, from modern MMA equivalents. Their very small omissions to be sure, but they change the dynamic a lot. I think a ground encounter would employ gouging, biting, hooking, clawing at the face, until such a moment as a dagger could be drawn by either opponent and used. These implements make it possible to finish an opponent quickly on the ground. Its possible to finish an opponent without these techniques and implements, however it takes longer. Occasionally you see a clear cut and fast finishing action in modern MMA ground fighting, but their rare, and if both fighters are experienced it generally takes as I mentioned before at least several minutes. Did they have that kind of time? Well that depends on lots of factors as I mentioned before. Myself I lean towards them not having several minutes to engage in ground fighting, but that's just a personal opinion, I could be wrong.

