once they noticed him they stopped
And they did not run away. They just stopped and sort of like listened to him talk to Zoro
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Bloodlust makes more sense given Zoro also has it and Mihawk his opponent. Could also be true Vice versa tho.
About the Two points you added later on.
About second one. Zoro could have simply heard about characters who have Conqueror Haki and are destined to do great things n be Kings
See maybe I'm not reading Zoro and Mihawk's personalities properly but I don't think they match the things you are saying.
Mihawk for example is constantly potrayed to be a very calm and collected fellow. Like all yhrough Marineford I don't remember him giving one of those Zoro bloodlusted grins. In fact even when he was getting ready to slice off Luffy's arms he was just sort of looking bored as usual. I don't see how Zoro having too fight him makes it that mihawk has too be like him. There's even Mihawk questioning why Zoro was being so bloodlusted in East blue while fighting him like as if the entire notion of bloodlust is a waste of time. There's very many differences between the two really from personality to a lot of other things.
And for Zoro, do you remember that scene in Skypiea where people are discussing eneru and Zoro specifically doesn't care saying "I don't pray to god"... I mean isn't this indicative of Zoro's ability to just believe stories of supposedly great people and just buy into them? Like it's hard for me to imagine Zoro just hearing a story of something and then PUTTING LUFFY OF ALL PEOPLE to test because of it. With how much Zoro respects Luffy, him saying Luffy AT LEAST must have CoC to be worth his respect is ridiculous if its entirely based on a story Zoro heard. What kind of story would it have to be that it had so much influence on Zoro's outlook on the world that he would question Luffy of all people just because of it?
Nah, I think it has to be something as direct as association to a person or thing Zoro respects already on par with Luffy or even higher than Luffy. For example, Zoro committed to journeying with Luffy at baratie BECAUSE Mihawk told him that he had to see more of the world before he could even come close to Challenging him. Remember Zoro joined the crew in orange town but he joins by saying to Luffy "if you get in the way of my dream, I'll kill you". Now after Mihawk beats him he says "I won't lose, is that okay pirate king". He has decided to commit entirely to helping Luffy become pirate king and journeying with him because someone he respects as much or more than Luffy told him he has to see the world. Later on he lays down his life and pride on two seperate occasions for Luffy because he respects the man so much that he can actually change his view on pride and the worth of his entire dream.
A simple story with no association to something Zoro already respects can't change Zoro so much as to say something like that about Luffy. If Mihawk himself doesn't have CoC then it would have to have been an actual story that personally applies to Zoro somehow to convince him that he should maybe not take Luffy seriously if he doesn't have this one in a million power