May not get any more short range accuracy than a well-built .223, but you can definitely get better long range performance. Ie this is a setup thats similar to what many in the High Power/Across-The-Course arena are running:
http://www.6mmar.com/6mmAR_Turbo_40_Improved.php
Pretty much everyone running a AR15-based match rifle in XTC are running either a variation of the 6mm AR/6mm Rat(based on the 6.5 Grendel case which is descendant of the PPC) or a 6mm HAGAR(based on the 6.8x43mm SPC).
Of course, most everyone running those are using long VLD-type bullets/Hybrids/SMK's, not short range-friendly stubby BR bullets. Personally I think itd be a waste to run Hottensteins or the like through such a rifle, but theres several people out running lighter varmint bullets through them in the 70 to 87gr range.