The filmmakers seem to have confused a cyborg with an android. A cyborg is a person who is half machine and half human, while an artificial human like Cash is an android, not a cyborg.
When the Cyborg removes the coat of a drunk prior to entering the club looking for Wildcard, the coat is a button-type with fasteners all the way up the front. After entering the club the coat turns into a poncho-type with only a couple of fasteners at the top.