The major diameter isnt nearly as important as the pitch diameter is. The major diameter just needs to to be small enough to not bump into the major diameter of the receiver threads. For a class 3a fit(what most builders are going for), the pitch diameter tolerance is only .0038". If you make some assumptions that the threads for both (your barrel and receiver) have perfect 60 degree flanks, the fit your're going to have will be terrible. Way outside typical fit(2a/2b) of a hardware store bolt/nut combo, in fact it's likely not even a 1a/1b fit. No bueno imo!
It's pretty easy to measure the pitch diameter of your new barrel if you have the tools(mic + thread wires). That isnt so for the receiver. To complicate things further, are you sure your receiver has a major diameter of 1.072? There is no standard there. If the smith was using some of the more common tooling from manson or PTG, that is the common number. If the smith chases the thread single point style, it could be anything. I think chad at LRI, who uses a mill to recut the threads, cuts to a major diameter of 1.08xx". Dont quote me on that, im just pointing out the differences. Hope that helps.