In spite of many postings by folks who claim that leaving the extractor in will mess up results, cause a nuclear blast, or result in some other calamity, most gunsmiths don't remove it. They just slip the gauge up under the extractor and guide the gauge into the chamber. Some extractors will exert sideways pressure on the gauge, but the oft-repeated caution seems to be intended to warn against chambering the gauge and then closing the bolt on it, which on some rifles will harm the gauge.
(Note that there is a very real reason for removing the EJECTOR on rifles that have plunger type ejectors in the bolt face. If the gauge does not have a cutout, those ejectors should be removed as they will give false readings. Also, removing the firing mechanism is a good idea, but is only necessary for cock-on-closing rifles, where the force required to close the bolt will give a false reading almost every time.)
Jim