The difference in the two chamberings is the throat. Usually 223 has a short throat and 5.56 a long throat, and the Wylde is somewhere inbetween. From the chart above there are some discrepancies. The PTG 223rem match has a long throat, the Compass lake 5.56 has a short throat, and the 223 wylde has a long throat. The only problem chamber I see in that list is the 5.56 with a short throat.
The military 5.56 chamber is throated long to allow higher pressure loads to be shot through it. With a short throat, this pushes 5.56 cartridge pressures to dangerous levels, wheather people notice it or not. The wylde chamber is a comprimise, with a long enough throat to keep pressures safe, but short enough to allow decent accuracy. To make this long story short, do what Larry said and just shoot .223 ammo and you should be fine.