I would not either.
Receivers with production dates in the 40's, probably OK. Receivers with production dates before 1900, risky. Receivers with production dates before 1920, still iffy.
Metal production and production process controls were primitive and metallurgy was an eye ball art in the early decades of the 20th century. The metal, the quality of the metal, the hardness, are all going to be highly variable.
Yes there were Swedish 308 match rifles built around small ring mausers, what receivers were used and what ammunition they were to be used with, heck if I know.
Cartridges of the world shows 6.5 Swede OAL 3.15” the 30-06 3.34”, they must be short seating the 30-06 bullets to fit the magazine of a M96.
There were some outstanding commercial Husqvarna small ring mauser rifles built in the 50’s made for Montgomery Ward in 30-06. I had the chance to buy one but the barrel looked pitted, looking at it, you could not tell it was a small ring mauser. One of those commercial rifles would be fine, but the military actions, are an unknown quantity.