Thank you for the link. I didn't follow this thread, now I read it all, and don't want to move this hot discussion here. For me, who practiced few martial arts styles , moves, poses and other movements shown on the film are very legible as adopt from far eastern styles. Looks strange to me in connection with Ukrainian national attire. This, what we can see on the film, was a Cossack dance, which could be an excersize but I can't imagine cossacks fighting with high kicks against Polish army or anyone. Even today high kicks are a suicide in real fight!
There was no Polish style or anything for unarmed way of fighting - except simple boxing, kicking or anything else what normal man can do to defend himself. I suppose some of the men knew ways of fighting like wrestling, there is one "style" known from 15/16th century:
link