The athletic ukemi is the red flag. As said, for a left handed sword user (as the guy in the video is), sword on the right hip is a logical placement. In traditional arts, lefties learn the right handed way because the japanese aren't big on crazy rebels sticking it to the man by learning a form the other way. Also, your term is wrong. Their chiburi is fine, in fact, it's by the book for most traditional styles. To be blunt, their solo iai would pass some low level gradings in znkr as far as I saw (assuming they dropped the twirls).
There's some athletic ukemi but enough red flags like swords on the right hip and excessive chiburi to tell me I made the right choice