Greener and others, of course, made many guns case off like this W.R. In the days of the early 1900's and prior, many shooters gained damage to their right eye through shooting accidents due mostly to the fairly unstable nitro powders of the day, as explained by Greener. The cast-off stocks were for those shooters who resisted in changing to left hand shooting. It allowed use of the left eye while shooting right handed.
: I have a friend, whose platoon took an 81mm mortar round in V.Nam. He lost use of his right eye and changed to being left handed. This wasn't too difficult for rifle shooting, but try it for an instinctive archer. Changing to left handed was a major jump for him but he perserverred and is not a credible left handed recurve shooter.
: The sweeping cast-off of the pictured W.R. is only one form of these left-eye, right handed stocks. Another, made a quick bend to the right then left running straight back to the butt with no angle to the buttstoock. Another was a normal right-handed stock, but had sight extensions to the left to allow use of the left eye.