GS, read post #7 in the following:
http://www.thehighroad.org/showthread.php?t=785352
. . . and you'll see how you can measure a fired case headspace then again after FL sizing it to see how much you bumped its shoulder back.
Inside diameter of the bushing is not important as long as it contacts the case shoulder somewhere between the body and neck. The actual reading on the caliper's not important, just the difference between after firing and again after full length sizing it.
Walkalong,
Rimless bottleneck cases are pushed forward into the chamber shoulder by the firing pin when fired. If the bolt's got an in line ejector, that pushes the case forward into the chamber, centering it there, before the firing pin does. It's easy with a thousandth or two head clearance.
I measured how a case fits in .308 Win. chambers with its back end pushed off center about .001" to .002". If the case diameter at the pressure ring's .470" and chamber diameter at that point is .472", the most it can be moved off center is .001". The tip of a bullet in a round that's 2.810" long is about 2.510" forward of that. With the case pivoting at its shoulder 1.330" forward of the pressure ring, its tip will be 1.180" forward of the shoulder. That tip is going to be about 11% less off center than the case is at its pressure ring; 0.00089". Same as a bullet's runout that much relative to the case shoulder. And opposite the direction the back end's off center.
It's the same for every round chambered. Do your own measurements or calculations using SAAMI chamber and case drawings.
http://www.saami.org/PubResources/CC_Drawings/Rifle/223 Remington.pdf
You can also use a Wilson case gauge whose chamber is SAAMI spec. I was loaned the chamber end off a worn out .308 Win. barrel cut off and faced at the chamber mouth. Also, the SAAMI drawings can be used to calculate from:
http://www.saami.org/PubResources/CC_Drawings/Rifle/308 Winchester.pdf
It's easy to see the case mouth off center at the chamber mouth if its shoulder's a couple thousandths off the chamber shoulder as the case body rests at the bottom of the chamber. As soon as it's gently pushed forward a couple thousandths against the chamber shoulder, the case mouth rises up then centers in the chamber mouth because the case shoulder is now centered in the chamber shoulder. Case mouth never touched the case mouth at all. Chamber neck diameter was .344", case neck diameter was .336"; .004" clearance all the way around when case fully chambered. Seated bullets follow the case mouth.
Then I put a .243 Win case in that chamber. As predicted, its case mouth centered perfectly in the .308 chamber; its case neck is perfectly centered on the case shoulder, just like that of a .308 Win. case. There was a lot more clearance from its neck to the chamber neck, but still centered. Its shoulder and body closely matched that of the chamber, so why not?
As there's no perfectly round cases nor chambers, a perfect fit of one to the other will never happen; a small clearance is better than an irregular one. Case necks are much straighter on case shoulders when the sizing die keep their body axis well aligned with their neck axis. Neck only sizing dies don't do that; full length sizing ones do. One piece dies are a tiny bit better than those using bushings. Bushings don't center perfectly on the case body axis with full length bushing dies.