Okay, so the name may not be considered very PC today – you could also call this a cross-dominant stock. The concept was to allow a shooter to mount the gun in one shoulder but sight with their opposite eye. This was useful for cross-dominant shooters (ie, right handed but left eyed) or shooters who had suffered a crippling injury to one hand or one eye.
The craftsmanship involved in properly making such a gun is quite impressive. The frame and tang are made with a slight curve to them, and then the stock must be made paying careful attention to the direction of the wood grain, so that it can withstand the bending moment created when firing. A fantastic piece of work, and something generally restricted to the rather wealthy.
For non-native English speakers using the word “cripple” can be considered as a very offensive way to refer to someone with a disability or handicap. Please don’t call people that.
Funnily it appears normal from a side view.
Ian’s Video: [3:58] https://youtu.be/_mcVFrk7omk?si=
Not cross dominant but pistol shooting should be pretty much the same, since you’ve got no stock.
As for rifles, I think your three options are pretty much shoot with the wrong eye (you’ll want to closer the other one), shoot with the wrong hand, or see if someone makes some product that cantilevers your optic over for you.