In my opinion (take it for what it's worth :winking: ) I'd stain your stock. I havn't seen any old light colored walnut stocked guns that didn't look like thay had been refinished at some point in their recent past.
I stain ALL the walnut stocked guns that I make. Unstained light colored walnut gives me the chills....
I use Jim Kliens alchohol based stains.
Here's some of my results.
This is on a british 1776 rifle in english walnut.
This is on a english fowler stocked in english walnut.
This is a 1733 french cavelry carbin stocked in english walnut.
This is another british fowler , this one stocked in american black walnut.
This is another british fowler done in english walnut.
As you can see, you can go as light or dark with your stain as you want to.