Akainu exists. And even if you aren't on the admiral train IMU exists. Blackbeard also exists
Kaidos quote is only from what he knows. He hasn't fought everyone
the translation you used is wrong, just go and see the chapter on VIZ, besides, akainu existing doesn't matter to me, whatever, dragon, shanks, kizaru, aokiji existing whatever, none of them have a declaration of strength that puts them above kaidou, is it the other way around, or could you tell me some statement from akainu implying direct superiority over kaido? It doesn't exist, it's just you using your achismo about akainu.
So I recommend that you stop using your hunch or guess as a fact, and start using real data provided by the manga.
Also, how can you prove that kaido is not taking admirals into account (especially akainu's garbage) when he claims that?! It's a world class statement, he's literally taking everyone into account, people of the world when they say to bet on kaido in a 1 versus 1 fight, they're taking everything into account. Akainu fought 10 days with aokiji and fought in marineforf in a war that was broadcast to the public, and after the war and after his fight against aokiji, people still extolled kaido. that should say it all. now somehow you will continue to deny everything you said so that your little agenda based on guesswork is not destroyed.