I'm with William. I weigh sort cases to the same range that he does. I weigh powder charges, debur flash holes, ream primer pockets to the same depth and I turn necks. I just call it elimination of variables. Does my ammo shoot better because of it? I do believe so, though I haven't proven it to myself in quite a while and don't have that on the to-do list.
As for the weigh sorted cases that didn't qualify for what I'm loading right now, most of them qualified for a different weight range and are bagged and tagged for use later. The ones that were far out of range, either high or low, were tossed.