I hope NOT
But it seems so far that it is.
First right hand of a "Great Pirate" is rayleigh, and he is CoC user
then, we see Katakuri, and he had a CoC
Then, with WB, we assumed that Marco doesn't have it, so it's likely that others don't have it. HOWEVER, it seems that Oda made Oden be the ORIGINAL right hand of WB, and him being the person to have CoC
Now, when it comes to Kaido and Big Mom.
I still have the feeling that Kaido has the "Ace" vice captain card, and that it's him who'll be a CoC. And NOT King. But, oda can also wank King and make him a CoC user, since his actual name is "King". But I'm hoping for "Ace" character to show up and be the Vice Captain of Kaido, maybe he's someone who followed Kaido ever since he separated from Rox Pirates.
With Blackbeard, honestly, I'm not sure if BB himself is a CoC user. His crew seems to be reliant on DF waaaaaay too much. While, it's ironic because BB himself chose Yami Yami no mi, because he was tired of DF users who are full of themselves and were reliant on it. Which makes it weird that his crew is waaaay reliant on DF now, and so is he, the captain.
So, who knows, maybe Oda will show the difference in that BB himself is not someone with quality of a KING because he's always taking the short cut. While, Luffy always takes the harder way