cjmac
I have the Hornady concentricity gauge and the RCBS case mastering gauge and they give different type readings. Below are both gauges and when you spin the same case on the RCBS gauge you will get larger runout readings than with the Hornady gauge.
Now some food for thought, military chambers are larger in diameter and the base of the case can expand and distort more than in smaller diameter chambers. A cartridge case with uneven case wall thickness will end up egg shaped like a cam at the base when fired. And when this case is full length resized it can cause the base of the case to tilt and look like The Leaning Tower of Pisa sitting on its base. I reload for many milsurp rifles and their "FAT" and "LONG" chambers can warp and ruin a cartridge case on the first firing. On the flip side of this, a custom tight chamber does not torture the brass as much and keeps the brass in better shape.
What I'm getting at is if the base of the case at the expansion ring is egg shaped it will cause deflection of the gauge and show up as runout and the neck of the case might very well be perfectly straight. Below is the NECO gauge and it explains the warped, egg shaped banana shaped cases from not having perfectly made cases with equal wall thickness.
If you are going to inspect your cases for out of round defects I would recommend two gauges, the Sinclair gauge paired with the redding case neck gauge. (best bang for the buck)
What I have found with standard grade cases is if you spin them on the Sinclair neck thickness gauge and have a large variation in neck thickness you will have larger than normal neck runout readings. This is because the case will expand more on the thin side and become egg shaped when fired and then show up as runout. This means moving the gauge to the base of the case and checking for a out of round egg shaped base to see where the wobble is coming from.
Technically you do not need the Hornady gauge if you have a runout gauge like the Sinclair unit. This is because all you would need to do is mark the high spot on the case as a reference mark and chamber your cases with this mark in the same position. (12:00, 6:00 etc)
I have both type gauges and the truth of the matter is the higher quality and more costly cartridge cases you buy the less runout you will have. And with good gauges you will find out if you have a bad case or if you did a bad job setting up your dies.
I have three five gallon buckets of .223/5.56 cases fired by our local police department, it was nothing more than "cheap" close range practice ammunition. And the only thing you will get by inspecting and sorting this type brass is gray hair because these cases are seconds with many defects. It is also very easy to set up your dies incorrectly and cause your own runout, and these gauges will tell you a story.
Now back to the rat turd in the violin case.
The rear of the case is supported by the bolt face when the cartridge is chambered.
And the bullet is centered in the throat and a full length resized case isn't touchng the chamber walls.
To me the Hornady concentricity gauge is holding the cartridge case the same way as it is held in the chamber. And the late Jim Hull of Sierra bullets said he got the best accuracy when his cartridges fit the chamber like a rat turd in a violin case. And as Boyd Allen stated this depends on the type shooting you are doing and I do not have any bench rest rifles.
"BUT" I'm very good at giving covering, suppressive fire with reloads using cheap warped brass with my AR15 rifles in Zombie attacks.