If your question hasn't been answered by previous posters... Here goes.
The .223 SAAMI spec chamber is tighter, and suited to ONLY .223 commercial ammunition. It is not wise to use military surplus NATO ammo in this gun.
The 5.56 NATO chambered gun, will fire anything either .223 or 5.56. It's chamber is somewhat looser allowing it to chamber and fire both virtually forever.
You may ask why the hell anybody would want a .223 chamber which does not allow them to shoot the cheapest ammo. (mil surp) The tighter tolerances of the .223 chamber allow for greater accuracy. Ofcourse NATO chambers are plenty more accurate than most shooters can ever hope for anyway.