This is not a smart ass answer.
I currently ride two bikes on the road one, my Specialized Langster has all aluminum bars. My other, a Bianchi 928 has a FSA K-wing CF bar on it. Both are covered in Cinelli cork. Both are attached to a carbon fork.
I can't tell a whole lot of difference between the two. Maybe I can ride the CF bars a little longer before shaking out my hands but, I can't really say that's a fact.
I think the fork makes more difference than the bars but again...