I'll try to explain.
For one, 'concentricity' gage is a misnomer.
We have either runout gages(V-block), or eccentricity gages(neck-benders). I spell it 'gage' here for simplicity.
The confusion between runout and eccentricity stems from machining measure, which is often taken to a center-line(i.e. lathe). Gun builders, gunsmiths, & machinists with shooting hobbies, have asserted this(influenced it). Well, a free cartridge has no center-line. chambering a round is not placing it between centers. So forget centering of cartridges, as this never happens in application. Where is the chambered & fired bullet pointed? You don't know, and can't know with any precision.
RUNOUT is the sum of all errors -from straight. Some errors worsening result,, some cancelling,, some improving.
Runout is an inescapable reality in our loaded cartridges, separate from and irregardless of any bench centered measure. When we chamber a round, it's runout that comes into play. It's this non-straightness that causes chambering tensions, which are not-good for shooting precision.
If you've read Vaughn's 'Accuracy Facts' you likely picture firing a round as a hammer strike to the chamber end of your barrel.
Rifle Accuracy Facts Book by Harold R. Vaughn
This, sending radial & surface waves of energy back & forth at the speed of sound in your steel. Your bullets are muzzle released amidst this noise, and it gets very complicated. The noise is summing and cancelling, and changing as the bullet goes down the bore, untwisting and forcing out droop tension in the barrel. Rest your thumb anywhere along the path and watch a shot throw off from expected grouping. The waves are so easily influenced, yet below practical measure and prediction.
We just tune with tensions and interferences in-place, and try not to cause any change from tuned condition.
Ripples on a pond..
The hammer strike to a barrel happens as it does, and not always exactly the same. Firing chambered bananas is enough to source energy from different coordinates around a chamber. Like dropping a stone into water a little left of where it was dropped before.
Some would argue that it doesn't matter, that amplitude is still the same overall & little timings of noise don't show up on paper targets. Well, it is a minor factor in our precision, I'll give it that. Many shooters could not isolate it with their shooting system.
If you've got a big ole sloppy chamber, or your gun doesn't shoot with much of a barrel tune anyway, you probably don't see or care about the affects of loaded runout.
We can make straight ammo. I do it all the time.
We don't need to fool ourselves about it, assume it, or play games with it. We can Just do it and verify it as measured on a V-Block runout gage. Where we can't make low runout ammo, it's easy enough to understand why.
So what is the difference in ammo measure with a runout gage -vs- an eccentricity gage?
I'll show you with pics, 1st the bad.
#1-3 show a round measured on a 'concentricity gage', and that no matter how crooked the ammo actually is -it still measures low.
#4 shows the same ammo/gage having it's 'bullet adjusted' for a lower reading.
Notice the ammo is still nowhere near straight..
The reason ought to be obvious; the indicator is very near a pinned end of the ammo(the bullet tip). With this, most runout is dismissed from measure.
Picture a jump rope. If you wanted to measure the amplitude of it's arc(runout), you wouldn't do so near an end, but at the center. So why are all eccentricity gages set up with so much error(measuring at a stationary end)?
The answer is marketing. To make you feel like your ammo is constructed & 'adjusted' better than actual.