Most fights between people end up on the ground very quickly. Optimizing for full-stroke punches and kicks effectively forces your strategy to be "debilitate the other guy before he can get inside and close". The difference between humans and the non-toothed/clawed animals you mention is that humans have arms and hands that can defend against the slower knockout blows you mention.
Wrestling is a more accurate sports approximation for how humans "naturally" fight (assuming 1-on-1).