Personally and maybe i need to read some responses to see why this would be such a bad idea,but i do not see anything wrong with it i saw someone say on the forum
wealth=crocodile
fame=buggy
power=mihawk
we know croc wanted to be pirate king and even though he probably had the wealth(headcannon but he could have wanted pk then loss to wb and settled on his utopia) he did not have the power whitebeard stopped him. Now seemingly through buggy he is back on that goal possibly.
Mihawk has the power and as strong as he is individually(personal top 1
) he does not have the one ability that luffy has, and truthfully speaking he should notice the same ability in buggy.
To add to this Mihawk has this understanding about pk.
It is harder than trying to surpass him, and the one thing in the end that separates mihawk and luffy is that power that luffy has. Unlike luffy mihawk is a loner and distrusting of other. So maybe he was curious about the treasure or the final island not necessarily wanting to become pirate king but it did not work out because he is such a loner etc or whatever his backstory entails ,but what he does have is strength over roger and in turn shanks.
Also a few more panels
Rogers haki transcended all and yet that haki as strong as it was, was not enough to get him to the final island roger admits he needed odens help.
Scopper Gaban backs this up its not the strength from oden that they need its his knowledge
Currently even buggy understands that they just have to get to the treasure first its not all about him being the strongest
So yea interesting take it could very well be possible imo after doing some panel research.