Farmerj, you are not talking the same thing. You seem to be confusing the ammo with the chamber.
SAAMI states that the cartridges are interchangeable dimensionally (ie exterior dimensions).
Yes there is a small difference in the rifle's chamber...but the AMMO is the same, except that the military stuff is a bit higher pressure and has a smaller internal volume case- read thicker brass- that was intended to prevent problems with machine gun fire (cook off, dirty gas systems, etc.)
Most of the chamber spec sheets I have seen do indicate the .308 CHAMBER is shorter, but they also note 0.015" is the allowable variance- thus a .308 on the long side is larger than a 7.62x51 on the short side for a chamber. Remember that a no go gauge is a oversize gauge to call cut off of max acceptable headspace.
The 7.62 is a bit bigger chamber wise- it is intended to be a bit looser so as to deal with dirt, build up, etc. for military weapons in combat. That is why match rifles are specifically cut to minimum chamber dimensions and why service arms are usually not as accurate as match guns.
The ammo is for all senses and purposes identical. (yes if you were using a weak action with NATO spec you could damage your rifle with repeated firings, but...)
While if you had a long chambered 7.62, and you always reloaded to spec length, your brass life would be shortened, it still would not be unsafe as factory ammo, nor would it be as reloads if you made sure of the integrity of the case each time you reloaded. You just have to make sure you check the brass is not getting thin in the web each time you reload it, which you should be doing anyhow with all your brass.
If you don't want to use NATO spec in a .308 chamber, you are certainly not being forced to; but then again, you are not knowing what you are speaking of if you just plain declare it "unsafe."
And the thousands of high power shooters using tight chambered .308 win guns with lake city surplus brass are not an accident waiting to happen...