I can't believe this topic has garnered 21 pages of back and forth debate! That is crazy! The ambiguity here lies in the fact that the chamber tolerances for 5.56mm NATO and .223 are different, but overlapping, as are the tolerances for ammo. That means that, when looking at the outer limits of the tolerance stackup, you can fit .223 in a 5.56mm chamber, but not the other way around. However, at the opposite extreme of comparison, where the tolerances overlap, you could go either way without issue. It comes down entirely to where in the tolerances your chamber sit and the tolerance on your ammunition.
Generally it is simpler to just go with the fact that any .223 ammo that meets the tolerance spec is guaranteed to fit in either a .223 or 5.56mm chamber, but 5.56mm that meets the tolerance spec is only guaranteed to be safe in a 5.56mm chamber. Of course, people need to understand that this is simply the "safe and simple" way of looking at it and should by no means limit someone who has the time to ensure that their particular chamber will shoot their desired ammo.
-J