I don't think you're thinking in complete contexts here. Fighting isn't always about just killing the other guy. Many animals have contests to measure dominance that don't always involve killing. Some are akin to wrestling, jousting, etc. Can they be killed? Sure, but that's not always the objective.
I also think it's a tad naive to assume there would ALWAYS be a weapon handy. At least one large enough to make that huge of a difference. If that were the case then why would people fight with their fists today when there's arguably more weapons around than ever? Yet you still always see people in street fights attempting to throw blows with their hands. It's in human nature to almost always think one can fight, or fantasize about it. That's what drives people into this Gym off the streets wanting to test themselves. It's a primal instinct that's always existed.