I have three ARs, two with 5.56 chambers and one with a 223 Wylde chamber. I shoot both 223 Rem and 5.56x45 with all of them. It often comes down to what I can get the best deal on, or what happens to have the particular projectile that I want. I do not reload, at least as yet, so crimped primers are not a concern.
As JMR 40 said, commercial 5.56 ammunition is often loaded no hotter than the same variety of ammo sold by the same maker and labelled 223 Remington. I have found a number of varieties of 223 Rem ammo that shoot more accurately than similar 5.56 ammo. When it comes to garden variety 55 grain FMJ ammo, 223 Rem is often a bit cheaper than 5.56 and performs just as well.