Not to mention Aokiji (ex-Admiral) and Koby (future Admiral) have already shown it. Plus, all other Saijo wielders have CoC, so why shouldn't Fujitora? And the list goes on.
But this has been clear since Dressrosa:
We were told there are "
countless" conquerors. But since CoC exclusivity is the lifeline of certain agendas, some people denied it even in the face of reality. They coped even when an Admiral got officially confirmed to have it, just like Sengoku was, lol.