Ah, yes, "Mihawk has better chances because of Zoro" (instead of the obvious 100% chance he has because he's a top tier), but "Crocodile definitely probably has it since he's "on equal standing" as Mihawk (who supposedly may not have it according to you in the first place)".
1- Crocodile is smart.
2- Mihawk clearly likes him to have gone along with it to create Cross Guild.
3- Crocodile is somewhat strong.
That's what makes him be "on equal ground"... yet none of those are reasons for him to have CoC. However, there are some reasons why he likely doesn't have it.
1- Crocodile has never been portrayed as a top tier at any point of his entire career. In fact, he was a weakling pre-TS by current standards. His strength will have been boosted no doubt but there's still a gap between YCs (where he likely stands) and top tiers.
2- The guy forgot even his basic forms of haki originally, if he ever had it before then, and focused solely on his DF. Not something a conqueror would do with his haki.
3- Had a good opportunity to show it on Marineford. For example, Luffy stopped the execution with a rookie CoC shockwave, yet Crocodile used a sand attack as usual for the literal same outcome. As usual, focused on his DF.
4- Thought Mihawk would be the Yonko and was surprised he didn't want the title. He never suggested becoming the Yonko himself and immediately went along with Mihawk's suggestion despite how angry at Buggy he was.
Buggy may have CoC but he has shown literally nothing to claim he has it. Between gags and flukes he made Mihawk "a subordinate" (which we know isn't even the case): does that make him as strong as Mihawk? Does that make him as fast as Mihawk? Does that make him as skilled with the sword as Mihawk? Does that make him have Mihawk's haki? No. Same thing for Crocodile being his partner, nothing about it elevates them to him power-wise.
Why did I bother making such a long post when your only argument is "they are his partners so obviously they should have the same power as him", while also still questioning Mihawk as a top tier. Too much effort on my part for such a low effort bait.
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And of course you made a poll and voted None. Get out of here.