Well...
According to Winchester Firm Model 70 serial production spread for AY 1950, was from 131xxx to 173xxx range. My own collection historic rcds & pix, show my highest earlier markings on SN 145xxx & later markings on SN 149xxx. Pix below.
Again the caveat that over almost three quarter century, barrels have been subject to swapping and such viewed now, offering false results. The under-barrel chamber area "last two digits "date marking" also relevant as some degree of 'proofing' as contrasted to receiver serial number.
The above referenced two 70 Models in 30-06 "appear" original. Such results, an "inference" and that only of the Factory changeover somewhere between those SNs. Yet even 'if' such correct, almost surely the Factory had an inventory mix on hand from which to pull and mate barrels and receivers', with some degree of randomness in each of those two components. Resulting in a wider nomenclature spread legitimately possible.
The early 30 Gov't 06 nomenclature I believe was adopted by many rifle manufactures in describing chambering and that from the US Government designations.
Quite a bit of 'if'ing here as...
Just my take!
Best!
John