The OP wants to be able to shoot a one shot kill every time and asks whether case weight sorting is needed!!!
I have been doing this for around 50 years!!!
First of all, weight sorting virgin brass is a waste of time!!!!!! But weighing properly FULL fire formed and case prepped cases will aid in precision, long range hunting loads!!
In my load development, FULL fire form the brass with one shot at just below max pressure signs of virgin brass!!! But, before max loading those virgin cases, I prep by carefully filing the base flat to eliminate variability (the humping or catering around the primer pocket caused by the primer pocket punching operation at the factory) of primer pocket uniformity!!! Words from a process engineer where the brass around the primer pocket will either push in or pull out!!! Plus this creates a flatter, squared up and, more even distribution of loading on the bolt face!!! Chamfering both sides of the flash hole will eliminate the burrs on the inside and create better laminar flow of the primer flash causing more consistent powder ignition!!!!!!! Burrs and sharp jagged edges on the inside of the case creates variability in the weight/volume correlation debate!!!
Unlike semiautomatic, casual reloader-hunter, and timed competition shooters, THE COLD BORE SHOOTER/HUNTER will get better accuracy by having minimal bump and slight case compression on bolt drop!!! My FL bushing dies are set at 0.0005" (compressability length of the 70/30 brass or so called NATURAL SPRING BACK AFTER DIE COMPRESSION) less than max chamber length!!! This eliminates addition case stretching, brass flow, and bolt hammer, and aligns the bullet with the bore!!! This is a modification of the old BR practice of NECK SIZE ONLY!!!
BEFORE FL sizing the FULL fire formed brass, for minimal bump, I inside ream (HERE COMES THE ATTACK OF THE OUTSIDE TURN MOB) and trim to COAL at the same time! TWO OPERATIONS DONE AT THE SAME TIME WITH THE FORSTER HAND TRIM LATHE!!! Then, chamfer the mouth!!
NOW, BIN SORT THE CASES BY WEIGHT because the outside of the cases are the same, and almost all variability in neck thickness, case length, burrs, sharp edges, case stretching, and base irregularity have been greatly reduced or eliminated! Load and shoot (cold bore) by bin batches, watching for fliers on the target and velocity variations recorded by the chronograph!!! Use an infrared thermometer or gun to verify a consistent barrel temperature before locking in (chambering) the next round!!!
Now practice at max range lethality just in case that once in a life time trophy appears!!! Above all, use Hunter's Ethics!!! If unsure of the shot, don't pull the trigger!!! DON'T ATTEMPT A LUCKY SHOT ON THESE WONDERFUL CREATURES THAT GOD GAVE US!!! And for God Sake, minimize the suffering of the game animals!!! The faster the animal stops pumping blood, less adrenal gets into the meat which will reduce the taunted taste of the cooked meat!!!!
I had a tuned Rem 700 BDL varmint special in 7-08 that had a 7 shot tight cloverleaf group of 0.384" max spread at 100 yards with 160gr SGK SBT!! That is a max bullet centerline spread of 0.384-0.284=0.100", MOA would be 0.100"/(π/3)=0.095"
My custom 25-06 gets well below 0.2" MOA with 117gr SGK SBT!!!