I'm a little late to this party but looks like the RW stock really wouldn't be a good choice.
Here's both for comparison.
View attachment 414161 Note the bottle cutout and the fill port hole. The WR measured 1.235" wide and the RW was 1.265" so that part could be adapted.
For my own preferences, the WR stock is nicer to handle and seems better for FT. We use the Bushnell 4200s w 42mm objective and you can see it's somewhat close to the barrel which we both like and the cheekrest seems perfect for both my wife and I.
I love my RW but feel the stock could be better for the things it gets used for.
If you were to reach out to Steve Corcoran, he might be willing to make something for your WR. Custom Stocks in the UK might have something already available.
Good luck,
Bob