There were other oil finishes used, like Tung oil.
Most seemed to use Linseed oil or Tung oil with each maker using their own formula of driers added.
To give a 30's type "in the wood" oil type finish that IS waterproof as much as it's possible for wood to be, I use Minwax Antique Oil Finish.
This is some sort of modern oil type that's the toughest and most water proof oil finish I've ever used.
Few common solvents I've ever used affect it, and the grain will NOT raise on a hot, damp day.
Once dried even lacquer thinner doesn't seem to affect it.
The way I used it was to apply a thin coat and let it dry, use 0000 steel wool to polish it off the surface and repeat until the grain is totally full.
As often with any wood finish, the first coat never really dries, it stays sticky. As succeeding coats are applied it dries faster and harder.
This usually takes 4 to 6 applications to totally seal the grain and leave none exposed.
After the final coat is dried, you can leave it on the surface, or steel wool it off, let it age a week, then buff with a clean piece of burlap.
This gives a true 1930's "egg shell" luster finish and it's all IN the wood.
If needed, you can repair damage by simply applying another coat or two.
Here's my 1950 Marlin 39-A, which originally had the American "Red" oil finish used by most pre-war gun makers. There's no surface finish on it......