Yeah but you are assuming that Kaido even considers himself a card value when it was never implied or specified lol. And I don't think I've heard the "Ace" being the card that rules/governs all others, but even if it was, Oda still didn't call Kaido the "Ace" of the crew.
Ace is the Captain of SPADE pirates, Ace of the Spades (card)...Ace=Captain ....
so Ace of Beasts -> King of Beasts -> Top of Beasts = Kaido
of course all assuming there not existing a different Ace which is likely since calamities are called strongest of Beast Pirates