Shotgunlover, yes it looked to me like the wood was cut for the cast as opposed to the stock being merely bent at some point after manufacture.
I have tried to ascertain whether the top tang is curved as well. I am not certain that it is or isn't. Funny you mention WR, as I pegged them as a potential maker of the gun.
I was also loosely contemplating an amateur attempt at restocking. Worst case scenario would be that I end up out $100-150 on an eBay Walnut blank. I wasn't familiar with the Wenig New American style, but it looks interesting.
Prior to that, I was going to maybe fit a polystyrene "cheek pad" made from scrap foam with tape just for fit and maybe a kickeez slip on pad to see how much headway I could make in fit with a few minor reversible modifications to the existing stock. If those don't yield improvements, restocking might be the only workable option.