To the best of my knowledge, Originally Savage 1895, and 1899 bores were .311 groove diameter.
This was changed to the 30 WCF standard of .308 around 1904.
J.R. Mattern's book "Handloading Ammunition" from 1926, notes this, and also states that many ammo manufacturers
Dropped the diameter of the bullets in their loaded cartridges from .311 to .308 around the time the book was published.
I have a mint 1920 vintage 1899 takedown in 303 Savage(Last year for the 1899 Model) and it will group .308 handloads in an inch or so at 100 yds with no keyholing at all, with original open sights. The bore slugs right at .308-.309
.
I have about 10 boxes of original Winchester 190 gr Silvertips, and at the time I acquired them there was a partial box as well, I shot those
Up on Targets and a couple of Deer , and 1 Hog and they were quite accurate as well. Also killed well as all 3 critters I shot with them were DRT.
My micrometer show the ones I have left now are .308 diameter.
I have read a number of stories over the years about variance in .303 bore diameters being rather large. Can't say as I ever heard or read of one as large as .316 before.
