So, what I'm taking away from this thread is:
It isn't just FL sizing. It's full length sizing with custom dies to a minimum of brass movement to MATCH THE CHAMBER.
Concentricity/alignment/runout etc. are ALL very important. But they are achieved with the kind of dies and processes described above. Without variation. We know the brass is going to be a close fit still but loose enough to be easily chambered and ~usually~ easily extracted. Depending upon load.
Each load with the right process in reloading with the right dies will produce CLOSELY repeatable results. Anytime there is a component failure, i.e. brass, barrel, there is an as closely approximated replacement as can be obtained. Do you go back and make a new set of barrels if the reamer you used before is different? Or, just find a way to regrind the reamer to an exacting set of specs based on what the barrels you still have are?
I understand brass is the flexible part of the equation, but where is the datum point at which the brass chambers the exact same every time? Is it held the same in the rear of the chamber and the expansion during ignition pushes it into the shoulder where it centers? Or, is it tight headspace on part of the shoulder that hasn't been bumped back? While the part of the shoulder that has been bumped gives the flexibility?
It's that last little question about neck sizing that holds the brass 100% in the chamber vs. custom dies that hold the brass 99% and rely on expansion to fill the chamber and hold the brass during ignition.
We don't need custom FL dies to shoot well at long range. As I posted earlier, I and others have found that there is no accuracy difference between brass sized in a custom FL die and brass that is sized in a small base die, and the small base die reduces the diameter even further than a custom die. In fact, the best shooting barrel I have is one where I made a rookie mistake on the chamber and wound up getting the chamber base .002" oversize. I did not get special dies for that chamber. Even in that huge chamber with a sloppy fit, I managed a six target LG agg of 5.376" at 1000 yds, good for third place over the two day match. On the tuning day before the match, that barrel shot three consecutive sub 2" 3-shot groups at 1000 yds.
The critical part of the chamber is the throat area. What is behind the throat isn't as important as we used to think. Thus a snug fitting case in the chamber, like we get with neck-only sizing, isn't any advantage. It however can be a huge disadvantage if the bolt is not smooth to open.