The problem is your putting Mihawk’s importance over the wss title’s importance
It doesn’t matter who the wss is as long as Zoro surpasses them
It doesn’t matter who the wss is as long as Zoro surpasses them
- If Shiryu killed Mihawk than that automatically makes him more important
- If it’s revealed a character unknown to the world like a gorosei or a brand new admiral etc is actually stronger than Mihawk they become more important
- If s-hawk reaches his prime it’s automatically more important

Mihawk literally "hides" (Oda confirmed) behind of a clown who gave up on his dream of One Piece because of Shanks, now they go after One Piece again because Shanks decided to go after One Piece. Shanks owns both Buggy and Mihawk.