Federal and Lake City brass have slightly greater capacity than most 223 Rem brass.
The upper pressure spec for 5.56 is higher than 223 Rem, and it is loaded hotter. The Accurate reload manual lists 5.56 loads at 62,350 PSI. The military pressure measurement system is different from SAAMI, which makes comparison of pressures a little sporting.
The COL spec for 5.56 is longer than the 223 Rem, but it doesn't matter. The maximum length the M16 magazine will allow only 223 Rem length ammo, so it gets loaded with shorter than maximum COL.
Military machine guns that shoot 5.56 compress the length of the case by an astonishing .014". If you reload Lake City brass that was fired in a machine gun, you may be asking for case head separation.
My bolt action is marked 223 Rem/5.56x45, so at least one manufacturer says their gun will accommodate both. Both my semi-autos are rated for both.
The maximum COL for M855 and M193 is 2.26", per the drawing.
The SAAMI maximum COL is 2.260".
The same.
The difference is SAAMI allows shorter COLs to accommodate lighter or different profile bullets. The military, only using a few bullet types and all having similar nose profiles, and lengths, needs to keep the COL held to tighter tolerances to maintain case volume.
As to the pressures...
The maximum allowable average pressure for M193 is 55,000 psi. The maximum allowable average pressure for M855 up until 1999 was 55,000 psi, after 1999 the pressure was bumped up 3700 psi, to 58,700. The STANAG 4172 maximum allowable average pressure for NATO standard ammunition is still listed as 55,000 psi. These are the pressure measured by pressure transducer at the case mouth from a STANAG standard test barrel, conformal or a perforated mid-case pressure transducer measurement is allowed but are calibrated against the case mouth standard.
The SAAMI maximum suggested allowable pressure for .223 Remington is 55,000 psi from a SAAMI minimum chamber, but allows for averages to be as high as 58,500 psi. SAAMI recommended pressure levels are based on perforated mid-case transducer measurement. Although, I'll bet most people use conformal gauges, as it is simpler and quicker, and can give the same results if calibrated against the mid-case transducer standard.
Military ammunition
can be hotter if fired in a .223 chamber, due to the throat differences. When fired in their respective chambers, the pressures are comparable.