I get that, but that's what I'm talking about. It's not her primary fighting style.
And if you want to argue that there are certain situations where she should have used it, I think it's obviously legit to question that, but on other side I can picture Oda writing that fight w/o those situations even occuring, so it goes both ways.
I just think, that her not using an advCoC punch on panel is not really that big of a deal, as this was barely a direct brawl anyway.
Likewise I wouldn't care if WB would get beaten without using CoC, cause the gura no mi is his most prominent feature.
On the other hand it would be the biggest bullcrap in manga history if Shanks, Roger or Mihawk would get beaten with just showing CoA.