Ok, I think the OP's question concerned sorting procedure and not a debate on whether sorting actually helps, but I will play some more.
I understand Mikecr's points and FNW's shooter error variables. You take those points and variables and the fact that lots of times errors and inconsistencies tend to cancel each other out, and it would seem that any small accuracy gain attained from sorting would be inconsequential at best. But that is not always the case, sometimes they compound and as per Murphy's law at the worst possible moment. Consider the following.
I looked at a group of sorted 208 Amax I have. I believe it was 300 hundred of the same lot when I sorted. I label the sorted bullets by bearing surface and weight range and place priority on bearing surface. Hornady bullets sort way worse than say Bergers and I hope Greyfox is right that the ELD-X bullets are proving more consistent.
Have a few here that have a .6% variance in bearing surface and .25% variance in weight. Doesn't sound like much, but they will affect ES/SD and it is easily seen over the chrony.
Now I have 300 RUM that shoots these bullets at 3070 fps. If that .6% error in bearing surface causes a .6% error in speed, the bullet could be going 20 fps slower when it exits the barrel. That is 2" or about .25 MOA lower at 800 yards. Now consider that I have a foggy brain and the shakes as FNW suggest, I might accidentally drop the hammer 2" lower. Add to that the possibility the animal is actually at 805 yards instead of 800 yards due to a ranging error and suddenly I am 6" or about 3/4 MOA low. That is really getting marginal and could affect the final outcome, IMO anyway. So, If I have sorted bullets well, I might not have lost that 20 FPS and minimized the low hit by 30%. That's makes sorting for long range hunting worth it for me.
I have shot in competition and proved to myself that sorting works. Effects of sorting are not something you easily notice with 3 or even 5 shot groups at 600~ 1k. Fire 20 shots though and you will start to see the difference. If you take 5 score cards where you sorted and 5 score cards where you didn't, you will probably find higher scores on the sorted score cards. For me something like 2~3 more X scores.
So, sorting really doesn't take long, improves my competition scores a bit, and gives me a better margin of error on long range shots in the field. Doesn't really make me a better shooter but I feel it improves my chances a bit.