You would be adding several opportunities for error, the roundness of the cartridge holder, the roundness of the hole in the cartridge holder, the concentricity of those two, the end-to-end straightness of the cartridge holder outer surface, the end-to-end straightness of the hole in the cartridge hold and the alignment of the hole in the cartridge holder to the alignment of the outer diameter of the cartridge holder throughout it's length.
Many of these errors wold be multiplied by the distance from the error to the measuring point.
Are you looking to measure the variation in thickness of the case neck, the run out of the case or concentricity like the bottom example here where the neck could be perfectly round and the case body also be perfectly round but they are offset as in not on the same center?