Lost what?
Mihawk is too scared to fight Shanks. Ran away from a fight twice now. I don't blame him. He couldn't even get to clash with WB and his strongest attack was stopped like a fodder attack by Jozu
Kaido: They think they are hot shit because they beat a Warlord. They are just playing little pirate games.
Akainu to Jinbe: As a Warlord you should be well aware of my power
No one respects the government dogs called Warlords, especially Yonko and admirals
They got fired and replaced by Vegapunk's toys
Zoro's hero got treated like a redundant piece of factory equipment. The Gorosei were crying about losing Kuzan, but Mihawk? The man you say is stronger than Shanks (Who mid diffs Kuzan)? Does not even get a mention. Shameful shit