Mihawk is the strongest swordsman. How can the strongest swordsman be weaker than a fellow swordsman?Until the manga specifically states Mihawk is stronger than Shanks, there's no logical reason to assume he is.
Mihawk is Zoro's goal, Shanks is Luffy's.
Mihawk was a minor player in the war, Shanks' arrival ended it.
Mihawk is one of seven Shichibuki (several of whom are quite weak), Shanks is one of four Yonko (all of whom are top tier).
Neither of them have enough actual feats to judge off of, so the only way you can compare them is based on circumstantial evidence or hype. Shanks clearly wins based off of those things.
Yonkou-Shichibukai argument really? You realise Yonkou have crew, right? A loner like Mihawk is uncapable to defend territories like Yonkou can. Without a crew, Shanks would have never been a yonkou to begin with
If All Shichibukai were yonkou level, the balance would have never existed since 7Yonkou level > 4Yonkou level. Obviously there would be weaker Shichibukai than other for this balance to exist