Metzger,
First find your seating depth sweet spot using the lowest powder charge listed for your bullet/powder/cartridge combination you are testing. Once you have found it load up a group of 5 or so of the heaviest cases. Then do the same with the lightest. All with that same low charge and the bullets seated to the sweet spot OAL. Make sure that before you shoot your test targets that the rifle barrel has been fouled to the point where the bullet strikes are no longer rising and are forming a cluster. Shoot the 5 heavy cartridges at one target and the 5 lite ones on another holding at the same point of aim on both targets with NO scope adjustment between the two. See if the point of impact for the heavy cases is higher than the lite cases and see for yourself if weighing cases would be an option you may want to consider. If the ranges you hunt at are usually under 5-600 yards the difference (if any) you may find that brentc is right and at longer ranges sorting by weight may have an advantage. See what happens and let us know what you find.