As the collector told me, 100% professional refinish is Zero % original finish, and original finish, even if worn, is what collectors look for.
Savages that old in calibers other than .303 Savage are pretty uncommon.
If you want to continue to shoot it (I have a Winchester Single Shot of that year that I have shot in many BPCR matches.) you might look into a tang peep sight, which will improve accuracy a good deal. I THINK they are drilled and tapped for that. If it is not, well, don't do that, either.