Does Katakuri Have Advanced Armament Haki. Luffys Arnament Haki Source. I think that only Shanks Maybe Blackbeard has both advanced Armament and Observation Haki.
Keep in mind that Katakuri has presumably wielded Haki for a long time possibly since he was a child and Luffy only learned Haki like last year or so. So its safe to say that Mihawk doesnt have CoC. Though that is yet to be fully confirmed Oden almost defeated Kaido using ryuo Read chap.
It does seem to be an Emperor thing after all.
Remember that Shanks grew dramatically stronger after he lost his arm which is the same time Mihawk called off their rivalry out of pity. The permanent black blades have to do with armament haki and we could see how Zoro didnt know anything about Conquerors haki because Mihawk didnt teach him anything about it since he is not a Conqueror. So its safe to say that Mihawk doesnt have CoC. His Haki-enhanced strikes are powerful enough to counter and outperform Luffys Haki-enhanced attacks and he has stated that his Armament Haki is superior to Luffys.