Alright so in that case Mihawk is Stronger than Shanks. Since it was confirmed by the author numerous time.
MFBeard vivre card even has the WSM title.
And since Mihawk refused to duel Shanks means there is a gap even its close. It's still Superiority and it only makes sense he Mihawk is stronger as the author confirmed numerous time. He is the WSS.
pre time skip Luffy and Zoro are stronger than Shanks and Mihawk.
pre time skip Luffy and Zoro are stronger than Shanks and Mihawk.