I guess it's just like my great grandfather's axe. Been handed down through the generations. The head was replaced in the the 1950s and the handle replaced a few times, but otherwise, it's original.
I don't think you are using the term "finish" correctly.
Your grandfathers ax is junk and uncollectable, to any ax collector who wants it original.....if its in the same same boat as a refinished rifle stock thats being passed off as 'original", to a collector. Your family may have valuable sentiments about the ax, but the guy down the road , who collects them, didnt know yer grandpa and could care less what a great heirloom it is, its as simple as "not original" and therfore not as desirable, or valuable, as an original matching peice.
I dont think your using the term "original" correctly.
Im sure the ax works great and could be used to deforest California, but its not a collectable, on its own merit, anymore.
Still, removing and replacing the finish on a rifle stock by chemically stripping the finish still ruins its value to a collector of guns, but not its utility or appeal to most shooters.
I know what Finish is, as applied to the finish on a stock.
Original, un "refinished" wood is a very serious part of obtaining a collectable piece
Then theres utility rifles, and what happens to them, be they milsurp or modern commercial.
I use Milsurps to adnausum to make a living, my M-39 is my favorite, and I dont care much about it appearance, and a straight shooter, but is treated quite unlike, say, my nice early SAKO M-39 Straight stock, with original unscuffed finish, 99% blue and blindingly shiney bore.
Even a an M91/30 with its varnish flaking off has much more collector interest than a shiney new poly coat, or even just bare, sanded, dry wood.
You , I and He can do as we please with guns, clean and use, clean again, no problem. My earlier statement is still true, if its to be resold, to people (Collectors) who pay top prices, a refinished Milsurp will not be as valuable as an unrefinished rifle.