Zoro's goal is to become the strongest WSS of history. His goal is not specifically defeat Mihawk. If Mihawk loses his title for example than Zoro doesn't have to do anything about it. If Zoro somehow proves to be a stronger swordsman. Like cutting kairoseki or diamond or poneglyph while Mihawk can't. Then he can become WSS.
Mihawk is not gonna lose his title… what point of I’ll stand at the top until you arrive don’t u get
The only way Zoro proves to himself, proves to luffy who was watching him, prove to the other strawhats
that he is the worlds strongest swordsman is by surpassing DRACULE MIHAWK. Again to reiterate, until the day I defeat that man (Mihawk) and become the wss.
now I agree there has to be something after that cements to the world that Zoro is the wss. I do not believe the world will be watching the duel between the two.
the feat that makes Zoro wss in the worlds eyes is the slaying of the unkillable creature kaido. Or if u don’t believe that it can be any other impossible thing but the world has to acknowledge it at that point and then he will be it on a world wide scale. Everyone will know zoro did it.