Thank you J Mack for confirming that my brain thing is not entirely soggy yet.
RGI checked the chamber with a NATO gauge set and it is in between NO-GO and field where the guys from Primary told me they chambered it I also checked the fired brass with a Hornady Lock-N-Load Cartridge Headspace Gauge zeroed on a NATO GO gauge. In my world I agree with you R G and the chamber is out of spec but in their world of building battle riffles they say this is the chamber for reliability in dirty conditions.I have just over 1500 rounds through this rifle now and I have not had any chamber related issues and this rifle shoots way better than it should, we easily put rounds on steel at 700 yards something I would have thought imposable from a 14 barrel and that chamber not to mention the little 1X4 scope that sits on top.Like you noted the most important issue here is to know how measure your brass and know the spec before you before you start loading bottle neck or belted brass.SOGYou are correct the cases have similar external dimensions but the chambers are different. Its safe to shoot NATO 7.62X51 ammo in a .308 chamber but not always safe the other way around. The issue like noted above is the longer NATO chamber and case head separation on the thinner .308 brass.
I would argue the point that if you shoot 7.62x51 in a tight headspaced .308 you could acheive higher pressures than a .308 round would produce. If you are shooting it out of a bolt action and have to force the bolt closed you are causing the case neck to crimp down on the bullet even tighter.
As RG stated, .308 out of a 7.62x51 chamber will produce lower pressues due to the larger chamber dimensions, but stretches the case out which is fine if you want to reload the brass for 7.62x51.
7.62x51 has an overall longer case length and therefore when you try to chamber it in a tightly head spaced .308 bolt action you have to force the bolt closed. This will force the case neck to crimp in tighter on the bullet. Now not all bolt actions are that tight, but in a precision rifle such as I've experienced they are.