This chapter literally confirms Mihawk is only better in swordsman-skill while Shanks is stronger overall
And where exactly you took that confirmation?
Mihawk has everything..
He fought equally with shanks.
He has the second black blade in centuries (haki feat)
Him being the strongest swordsman means he can cut through everything possibly.
We see zoro cutting magma like attacks, take a guess what this mf can do.
The moment he became active again he took one of the highest bounties and all that while he doesn't want to be a Yonko and want a peaceful life.....