So then you have no argument on Mihawk being stronger than Shanks currently because they haven't fought since like forever.
He doesnt need any arguments. Two rivals use swords as their primary weapon and only one has world's strongest swordsman title. So the burden of proof is on you.
You could previously say Shanks is a yonko, Mihawk straight up rejects the yonko title and gave it to fucking Buggy in this chapter
You could say Shanks has a 4 billion bounty now and only had 1.1 billion during their duels, this chapter shows Mihawk has 3.6 billion without a single person backing him up
You could say Mihawk is only better at swordsmanship. Zoro already showed you that swordsmen and hakimen are essentially the same thing. The hakiman argument wont help you much here.