For the case you mention, thread micrometers or wires would be the first step in identifying the problem. You wouldn’t know if different measurements were cutting deeper in one spot, or if the pitch changes for some reason without further investigation. Thread micrometers are a direct reading version of wires, so there really isn’t much difference between them. The micrometers can be faster, and you don’t worry about dropping a wire in the chip pan, or wishing you had a third hand to hold everything while measuring.