A friend who has rebarreled many older military rifles gave me a useful tip.
If a takeoff barrel won't clock in properly, over clocking, theres asuper thin washer made for the purpose of taking up any slack. He'd used one of these on an Arisakarestroration years before.
He showed me where to find these, but its been many years, best I remember Brownells carried tham at the time, but it may have been another supplier.
Several visitors to other boards have posted about receiving their No. Savage rifles back from their dealer after sending it back because the barrel was no good. That supplier used excellent condition two groove Savage take off barrels in rebarreling and in those cases at least the barrels were significantly overclocked.
I would expect that the torque shoulder could be upset enough to take up slack but it would take some careful work and probably require that it be trued up on a lathe
The front sight base of an overclocked barrel can be straighten up by triming a bit of the underside of the left sight lug on the barrel and an equal amount off the top of the right hand lug, then using shims, on top of the left and under the right lug, to take up the slack.