Powers & Abilities If Kuzan doesnt have ACoC...

[Warchief Sanji D Goat]

Kuzan always have OP Awakening to made up for lack of Adv CoC.

 

[zzShinichi]

TBH Kuzan's fighting style doesn't really fit having AvCOC, since he mostly just throws ranged Ice-attack. The only time I recall him being up close and personal is when he uses his Ice Saber to stab Luffy.
Akainu on the otherhands, AdvCOC fits him perfectly since he likes to punch and melt the shit out of people.