Which, if true, won't go to Zoro either. Kaido is already confirmed to be stronger than Mihawk. Properly translating the japanese panels, which
@Sasaki Kojirō made good effort in doing so, leaves no ambiguity regarding Kaido's title, with even Zoro calling Kaido the strongest, without the "so called" part.
And there are still Mihawk fans out there slandering Kaido when Kaido should be one of the revered individuals for them.
In the entire manga, there are only two individuals definitively above Mihawk as confirmed by Oda and the manga, and they are Kaido and WB, using the statements we have. Analyzing this with facts and not with nonsense like 'portrayal,' 'deeds.
Kaido > Mihawk
WB > Mihawk
Zoro will defeat Mihawk, and just like WB and Kaido, he will surpass the level Mihawk is at:
Kaido > Mihawk.
WSS Zoro > Mihawk.
WB > Mihawk.
If the fight against Mihawk happens after the Goroseis fall, then the ranking is as follows:
Kaido and Zoro > Mihawk > Sword Gorosei.
WB and Zoro > Mihawk > Sword Gorosei.
People who think that the Gorosei are at Kaido's level or even stronger are nothing more than delusional individuals. Even in the worst case scenario, where we have:
Bald Gorosei > Mihawk (due to some Oda craziness), and Mihawk falls before Zoro fights against this 'Sword Gorosei,' this is not a reason to consider the Gorosei above Kaido and Whitebeard just because he might be stronger than Mihawk, because Kaido and WB are also stronger than Mihawk.