By 'fairly equal ground' I in no way meant to imply stats don't matter. However, it was someone involved in their admissions process that told me this when I asked. By 'this' I only meant to say that if your stats didn't prevent you from getting an interview and you impress on the interview, that you have a shot.
UNC values all parts of the application. People with stats lower than my own do regularly make it through and the interview (plus ECs, etc.) plays a part in that.
Thanks for the comment!