no disrepect, but it aint rocket science,
pretty much line the witness marks up, finish ream, test fire, and be done with it,,
i ream till it will close on a chamber test round, or a live round with no fire control in the bolt,
commercial headspace gages are not all the same, look at your fired case, if it looks good, then go shoot the rifle, and see how it does, not sure WTF the wobble test is, but i would avoid having that person judge any weapon..
a note...if it was indeed a new barrel, it would have been short chambered, and the headspace would have been up to the person turning the finish reamer.. i may have gone a little too deap, but if it closes on a factory round easy, and the fired case looks good, id shoot it, and see how it does.
if you installed a used barrel, then you installed whatever issues the barrel had before it was removed.