I think his hype only includes zoans/animals, hence Nami's reaction. Admirals being logias shouldn't be included. Still, i think he can win against any admirals besides Akainu
That Whitebeard was already close to death, heavily impairing his reaction speed. The first shot was an off-guard attack sure, but after the first shot, Akainu wasn't off-guard anymore, hell he is the one who directly back-fired, but Whitebeard's second assault still managed to almost KO him. It demonstrated the great difference in strength between them considering Whitebeard's close to death state at that moment, yet 2 shots were enoughWB nearly died from the hands of Akainu despite catching him off-guard. Kaido is no exception & Akainu's DF is devastating in close combat. If he nearly blew off WB's face, someone who's knowing for being a tank, imagine what he could do to someone else. Based off hype, Kaido probably wins extreme-diff.
Admirals are so underrated here. If its the 3 admirals against Kaido, I would say it would be a low-diff. win for them.