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I'm unsure how or why headspace gauges are important to reloaders? Maybe someone can enlighten me on that?
The difference between a .223 and 5.56 is a longer leade. The case size remains the same so a .223 gauge would always work as a 5.56 gauge. Now military spec might call for a higher field/no-go gauge but they only use it on SAW/machine guns, not rifles.
What I do is take a Wilson CASE LENGTH HEADSPACE GAUGE and use that as a measurement. I check it twice over. Once I do the final reloading, I simply take the overall length recommended in the cook book and make sure it is within that spec. Never had any problems doing this. No popped primers, split case, or anything. But I'm not a mass produce reloader so maybe I haven't hit my explosion quota yet.
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Generally the "headspace" context in reloading is the case dimension from the case head to a datum on the shoulder. It's obviously related to chamber headspace of the firearm, but is not the same thing.
We also use headspace gages to measure that dimension in order to insure the finished cartridges will function in the rifles chamber. There are two types of gages, fixed gages that cause the sizer die to be set up to produce a "correct" length determined by the gage manufacturer, usually 0.008 inches (shorter than the chamber). The other type of gage is a comparator that measures the length of the case so the sizer die can be set up to produce a custom case headspace, say from 0.0015 to 0.003 inches.
There are at least two motivations for using comparator dimensions. One is to limit stretching of the case upon firing and extending its life, and the other is to improve accuracy, both while shortening the case enough to insure function in the firearm, easy chambering and extraction of an unfired cartridge.
All that is a separate issue from trim length. Loaders that use Dillon equipment commonly trim every case to the maximum length on every loading, and some others do the same thing with their power trimmer of choice. Others trim about 0.005 inches shorter than maximum to simplify trimmer set up; that is where I fall, mostly. Others trim to 0.010 or even 0.020 inches shorter than the book maximum length, and that's fine, that's a choice they get to make. In the case of .223 Rem cases, the necks are already short enough for good bullet pull out, so I am not an advocate of trimming them much shorter than maximum.
Allowing the case length to grow is a safety problem, and it doesn't occur due to the length of the leade, it's in the transition from the case neck to the leade. That location is the "second shoulder" between the neck and the freebore . A case neck that protrudes into that shoulder is restricted from expanding on firing, leading to high pressure. The leade is the transition from the freebore to the rifling. There is a good drawing at this site:
https://bisonballistics.com/articles/an-introduction-to-rifle-chambers
I'll add a drawing if I can find one I can link.