Funny thing to me is that the differences between the two really don't have much to do with the chicken itself.
Most chicken is not that much different.
To me it is the other things they offer and I think Popeyes side dishes are the best. Red beans/Rice, better fries than Chics soggy waffles fries, mashed taters gravy and so on.
I can go to Popeyes and eat whatever in the rest but always wind up getting some sides (mostly red beans/rice) to take home for later.
I will say this for Chic though...at least in my area, the business is much cleaner inside. I don't see much difference in overall service but the Chic was much cleaner inside than the popeyes.
But that was just in the area I was in. Most of the time when I was down in Louisiana there was no issue with the cleanliness inside.