In other words - they would shoot, get their hooks in and apply a strangle or neck crank. From there is is a short leap to doing to one another. All animals grapple - well all predators. Tigers, Lions, Wolves all will grab hold of prey and bring it down to finish it off. There- that should end the wrestler vs striker debate once and for all.
Grappling is a very diverse and wonderful art.
In the Caves of Nabu there are drawings from 2500 B.C. that document many of the same grappling techniques used today. Grappling exists in one form or another in every culture. Possessing a cultural significance similar to dance, grappling style vary from culture to culture, city to city and often village to village. Nearly every culture has developed some form of unarmed combat system involving grappling. All had merits and weaknesses.