Linseed oil has been used for centuries. Modern stock finishes may be just as good or better than what were used in the old days, and they have the definite advantage that they dry faster.
Nevertheless if you wish to copy the old finishes here are a couple reasonably technically accurate items concerning "linseed oil".
Over the years a lot of vague descriptions, well just plain BS have developed. "Boiled" linseed oil from the hardware means linseed oil to which some manner of "dryer" has been added. Linseed oil does not dry by liquid evaporating, it "dries" by chemical reaction with oxygen from the air to form a polymer.
If for some reason you want honest-to-gosh linseed oil, go to your local art supply store. Here you may find: Cold Pressed Linseed Oil; Refined Linseed Oil; Stand Oil - oil heated 525 - 575F a few hours, thick and slow-drying; Do avoid the various non-linseed oils such as Poppy or Walnut oil. These make inferior - weaker - films.
Oh yeah - you may want to thin your oil for some reason. Again, go to the art supply and buy some real turpentine, which should be labled something like Pure Gum Spirits of Turpentine. A good brand might be Winsor & Newton's triple distilled turpentine, sold by the liter in a glass bottle for $$$$$. Avoid the hardware store stuff or anything called 'steam distilled turpentine".
Why?
The reason "good" turpentine is a better solvent choice is that hydroxides in turpentine react with acids present in linseed oil. The reaction binds oxygen from the air, which promotes thorough drying of paint films from the "inside out" as well as from the top down.
None of us may live long enuff to see the difference in a flintlock rifle, but it matters to guys who paint on canvas & expect it to last centuries.
I have two rifles in the family, one by John Shuler the other a so-called "Susquehanna River" style. Both percussion. Both look to me to have had some kind of varnish finish from the first half of the 19th century. Well it may indeed not be varnish but doesn't look like plain oil to me. They have not been refinished.
The military wasn't so concerned with Pretty, they wanted walnut stocks that would survive the weather. So they scraped the finish (no, didn't wet to raise the grain) then cooked them in a mix of real linseed oil and real turpentine. It hid the lovely grain present in some pieces, but the Army wanted a gun to last, not just impress the troops. Even so, moisture gradually works through this finish over the centuries. Occasionally one fines an old musket with a "prickly" finish, meaning the walnut grain which has gradually raised. I have one such, a Massachusetts musket dated 1813.
Sources: The BEST gunsmithing books are the two-volume set The Modern Gunsmith, by James Virgil Howe, revised 1941. Good stuff on heat treating and steel selection (his father was a metallugist, wote an interesting book 190? which I got). Discusses basic things, more like we all do making a muzzle loader.
Why anyone would care about artist's linseed oil I dunno (except me, I take painting classes for relaxation.) but if so: The Artist's Handbook of Materials and Techniques, Ralph Mayer, 5th edition is a basic source of info.