Why are you downplaying Shanks? He isn't trying to be WSS, he doesn't care about the black blade.
He cares about ensuring this era goes as his captain Roger wanted, it has been said he lost "no strength" from losing his arm, and it is known that he went from not being a yonko before losing his arm to being one of the four yonko.
Mihawk literally said being PK is above WSS and we all know this manga is about Luffy becoming Pirate King at the center of everything.
In the manga it is never said he is looking for someone stronger than Shanks, merely that he wanted Zoro to try to become a better swordsman than him and separately that he stopped dueling Shanks because it was dishonorable.
Mihawk is looking for a duel, King is a good example in that he elucidated perfectly that how doesn't care about "duels" and will do whatever is most effective to win. I have never said Shanks is better than Mihawk in pure swordsmanship, I have never said he can create a black blade, but apparently I'm the downplayer after denying the people that are automatically putting him over Shanks and giving him abilities "he must have" in their circular logic. Sanji is 95% as strong as Zoro just from Kicks, why can't Shanks (like Rayleigh) use Kicks as well as his blade as a primary source of his power? He uses guns in the game, he has wide range AoE haki strikes etc. Shanks has shown hints of this CoC mastery on panel destroying WB's ship passively, Mihawk hasn't, but he "must have" it to be "stronger than Shanks".