Then in this case no title in the manga is valid. Not even the titles you are introduced with in the info box, because the info box also portrays you the way the world sees you. The fake straw hats in Sabaody were also introduced as the real ones in the info box. There is something as a general consensus.
Not once was it said this is kaido the wsc
its all rumours fake hype
mihawks vc says his title stands in name and actuality
Because they are of the same caliber. Just like the admirals. Doesn't mean they are 100% equal in strength. Big Mom herself said that Kaido is not something you can defeat.
No she said that to luffy
she had no issue telling him she was coming to wano that luffy was hers despite his threats nor fighting him surrounded by his men even saying once they take over the world she will kill him.
Because knowledge is based on more than personally facing an opponent. Luffy couldn't even tell the difference between Kaido, Shanks or other top tiers because they would equally trash him. But still, there is a general consensus in the (new) world, coming from pirates (Yonko crews and allies), Marine and WG that forms that opinion.
Thus, Killer has way more intel than the one piece reader has.
No its not zoro thought he could beat mihawk in baratie and got jobbed despite hearing of his reputation of the strongest
now he knows how big of a gap there was he wont fight him until hes ready
killer has no standing on where all the top pirates stand so he isnt in a position to say
admirals are wildly recognised as the peak of the navy yet pica thought he could kill fuji
so pica >fuji now ?