I am well-versed and intimately familiar with the procedures of the custom shop, so I doubt there's any need to "call" them. After all, there is a legal difference between a barrel that is either in or out of spec and expressing an actual accuracy guarantee.
But if you are certain that your barrel is shot out, do you really anticipate or expect that Thompson-Center will replace your barrel?
That's akin to driving a car for 200,000 miles and then hoping the dealership will give you a new one.
Yes, they may do so. But if it would be on my dime, I would not give someone a new barrel after they shot it out.