No one ever said what mihawk's dream is, that's you being a mihawk fanboy to suggest that you know it and you claim that he achieved it.
That's 1 thing,
And another is Lolo novel specifically tells us that mihawk's title is debatable, since he never beat Vista and Pre-Yonko Shanks, people were saying who is the greatest swordsman, that's Lolo novel not me.
No one would say Roger isn't PK or Shanks and other 3 aren't Yonko so, that's the difference here.
You didn't read well, he later admitted to Krieg, he went after Krieg's head;
Because he didn't go to fight with Shanks. He went to Shanks like a little b!tch to inform Shanks about Luffy, that's how sidekick he is.
What I said is that
if he is going to fight with Yonko at any point in his career, then he should've done it when he was a Shichibukai not after losing his Shichibukai title.
I never said he should fight Yonko, it's you mihawk fanboys with fanarts saying that he will fight Shanks after declining Shanks's fight offer 2 times in 2 different locations when he was a Shichibukai, now he should fight Shanks after losing his title? Ridiculous.
mihawk is probably swinging his sword to stay alive while running from Larines and SSG right now, not against Shanks, Lmao.
Equals at what? mihawk has no ambition to become PK or Emperor and ruler of the Sea, so they can't be equals, mihawk can only assist Shanks, as he was assisting World Government as a Shichibukai,
Instead of serving World Government, now he will serve Shanks.
That's already established as mihawk even said he won't fight Shanks even if World Government tells him to do it at marineford battle, he would easily choose Shanks over world government and now world government betrayed him, he can join Shanks and become his underling just like he was an underling of World Government, it's not new for mihawk.