Bro, Zoro is a real fighter with spirit who deserves CoC, while Katakuri has no passion and was shown that all he wanted was to live a couch-potato life and just be accepted for his appearance and eat donouts
Katakuri showed passion and the balls to change his whole appearance, no, his entire character for the purpose to protect his siblings. That's why he is calm and cautious - characteristics which go along with his FS.
Zoro deserves CoC, I agree. Vergo? No, he's just Doflamingo's dog who betrayed and killed his own trusted men. He doesn't have CoC and there's a good reason for it.
Katakuri developed great deal of self-consciousness surrounding his looks.
You're just inventing some characteristics which Katakuri hasn't shown thus far. Where was he self-conscious about his appearance other than the aforementioned facts?
would like to think it was just all self-sacrifice, when it was shown he didn’t have the balls to exit from that identity he had developed.
You have to research his character once again.
It is then a form of self-delusion for Kata where he pretends it is all a self-sacrificing act, but deep down he knows that he is lying to himself; in reality it takes balls to change and Kata lacked the balls to exit from his comfort zone.
It is definitely debatable whether it was really that useful to build a fake image like that and whether this was one of Katakuri's flaws but to argue that the dude - who openly sacrificed his "goofiness" in order to become a different individual - is self-conscious or even a coward is plain up wrong.
Katakuri is a character who had flaws AND had the balls to change those flaws - hence he has the balls to change his personality. That's why his character development is that great actually.
BTW, no, his goofiness is his comfort zone. You probably meant that Katakuri lacked the balls to exit from his danger zone.
However, the act of realisation to have massive flaws isn't really a proof of "lacking" balls. If there was nobody who showed him his flaws, how exactly didn't Kata have the dignity to change his danger zone if the realisation simply failed?
That's why Katakuri needed Luffy to show him those flaws - and when Katakuri realised those and how his siblings truly behaved in front of him, he immediately exit from his danger zone.
Also, perhaps you do not realise that but look at the pure fact how many aspects we're debating about Katakuri. That's why his character is also great - his character development is good enough to have different interpretations of him.
Meanwhile Vergo... I still cannot find any proper characteristics which apparently demonstrate why his character is so much better than Katakuri's. I'm serious btw, that ain't baiting.