Cases Not Aligning with Dies

We have to make our shell holders to fit cartridge cases made on the large side of the manufacturing tolerance, but it's in the cartridge case manufacturer's best interest to make cartridge cases on the small side of the manufacturing tolerance (.01 grams of brass per cartridge case times 1,000,000 cases is a lot of brass).  As a result there will usually be a loose fit between the cartridge case and the shellholder, and some sideways movement of the cartridge case as it enters the dies.  All well designed reloading dies have a chamfer on the base to allow the cartridge case to self align as it is pushed into the die by the operator, but occasionally you will have to guide the case into the die to avoid crushing the case.