Chamber pressure on the .223 is approx. 55,000psi, the 5.56 is 62,000. Add to that the longer leade, and you could get extremely high pressures.
As comparison, the 30-06 is 60,000 and the 45-70 is 28,000 but both have a larger case head and distribute pressure more across the breech face.
I don't think it's the 62,000 that will get 'ya, it's the unknown variable when the bullet is jammed to the rifling at the time of firing, producing who knows how much pressure.
Ben