A tighter chamber will support the case better, and a tighter, shorter throat will keep the bullet straight. This is going to give you more accuracy.
The downside is that it will also increase chamber pressure. This isn't a problem with standard SAAMI-spec .223 loads, but military "5.56" loads are already loaded hotter than SAAMI specs, and in a tight chamber, you will likely have problems related to too-high chamber pressures. The biggest problem is usually extraction. The cases will stick in the chamber, and the extractor will either dent and slip off the rim, or rip right through it. You'll have to use a cleaning rod to pound the round out of the chamber.
In rare instances, it *could* cause a kB!, but that's unlikely. But *expect* problems with hot military ammo.
Just like high-horsepower racecar engines don't run well on 87 octane gas, match-barreled ARs won't run well on cheap military ammo.
-Troy