You literally debunk your entire post with your first line: "He hasn't shown CoC" arguments to downplay the idea that mihawks CoC is above Shanks and swordsmanship is about CoC is nonsense since Mihawk has never been
fleshed out"
You're completely right, why are you making up silly head canon to justify your agenda when these characters like Shanks, Mihawk, Garp, and Dragon haven't been fleshed out? My entire point with the Sanji example is that if I claim Sanji has CoC without any evidence, than it is a completely imaginary claim, which is exactly what your head canon is all about. Maybe Mihawk doesn't have CoC, but I'm not making that claim because I have no evidence to prove he doesn't, just like I have evidence the proves Mihawk has CoC. I believe Mihawk probably has CoC, but until his CoC is revealed in the story, I'm not going to go blabber about some made-up nonsense.