The difference in headspace measurement was not a fault of the chamber reamer or the Go-Gauge. The two different brands of new 338 Lapua cases (Hornady and Lapua) varied in headspace length ~0.004". The Hornady cases were 0.004" longer than the Lapua.
So I would send some of the cases you intend to use and fireform in your finished chamber to your gunsmith, and have them cut the chamber length so the factory cases bottom out against the shoulder in the chamber. That way you'll be able to fireform without any fuss. The bolt should close with enough resistance on the new cases to ensure the case head is forced into direct contact with the face of the bolt - when the bolt is closed.