Fair.
Still, visuals aside, all Saijo users until now were so we are basically implying Fuji is the only expection.
More so because other likely users such as Ray or Shanks have CoC too.
Fuji also fits the bill for the attitude part.
Every user who wields one of the 12 Supreme Grade swords has CoC”—that only increases the likelihood that he might have it,
but it’s no guarantee at all.
The CoC lightning in Dressrosa was depicted as black and red, and it remained that way until Luffy vs. Katakuri according to the official colors. Fujitora’s gravitational effects or rays from his DF are entirely black, looking like basic CoA lightning, but I don’t think it is. I think it’s just a manifestation of his power Df.
The fact remains that I am right in saying that Fujitora does not have CoC, because so far there is no concrete proof, not even a statement, that Fujitora possesses it.
So don’t just try to say that Fujitora has CoC, because he doesn’t. What you have are
coincidences that are no guarantee.
Do you want my honest opinion? I hope Fujitora ends up having it, however I'm keeping my expectations low and following canon with my answer.