I don't shoot military ammo in any of my rifle's, never have. But I've used a lot of military brass in 30-06 and 308, wouldn't phase me to shoot a military round in a commercial rifle. This business with the 223/5.56 has been around the barn a lot. Here's the deal if you simply reload the stuff, and It would not bother me to fire a 5.56 in a commercial rifle. All of the 223/5.56 case's vary to some degree. In the past Remington case's were heavier than Winchester and Norma heavier still. What that means is inside capacity is changing and the heavier brass might develope pressure sooner than the lighter brass. No big deal, if your reloading start low and work up. Start low and work up fix's different problem's in handloading. In factory ammo. as I said I don't shoot miliraty loaded ammo in my rifles, I like to achieve a certain level of accuracy and don't believe military bullet's will get me there. But the brass is a differen't story. I've used LC Match brass in 308 and necked down to 243, great stuff. Now I use a lot of FA49 brass in my 30-06 and it works, all I can say for it. Also use a lot of LC brass, not match , in my 308 and it's fine. I can about guarantee you that shooting 5.56 in your 223 will work fine. what might happen is that it certainly may run at higher pressure, I don't know, but it will work fine. Over the years something I have found with most reload data, especially older data, is that Max loads may be max but I have exceeded them a good number of time's without problem. I do not recommend other's do it though, you have to have an idea what pressure sign's to look for. Food for though, if the 5.56 rounds are so much hotter than 223 rounds, I would think the 223 rounds won't cycle the action on a AR rifle! I suspect they do!
The safety of a round is probably the same as the requirement's on a bridge. To rate a bridge, it must be capable of handling much more weigh than is posted, used to know what that was. I would certainly suspect rifle cartridge pressure are determined the same way. Say 65,000# is posted as max but blow up is well beyond that in a good commercial action. If a military round will fit properly in a commercial I seriously doubt it will cause a problem! Imagine the liability is someone's rifle blew up shooting a cartridge that properly fit's it!