The Story started by telling us about this New Era where everyone is competing to become The Pirate King & how they must Honor their Flag, recruit the Best they can to assist them, find better Ships, endure the harsh Seas & face the Strongest Pirates ... etc
And then out of the blue, we get introduced to this Character who simply shits on all this Story's Premise !!!
He doesn't bother use a Flag, he doesn't rely on anyone's help, he roams the seas in a Small Boat, he exits & enters Grand Line on a whim or because he was chasing some small fry who woke him up, he destroys Large Fleets for fun, and the Storms of Grand Line that scare everyone are actually just a small annoyance to him because it helped his prey escape !! How can you not like such Character
And to top it all, this Character was given a Title, he was introduced as someone who already finished his Quest, he is not in the Competition of this New Era, because he already won his Competition & one that doesn't include Pirates only, but the whole World & all of it's Factions & Kingdoms & Organizations, because wherever you go, Swordsmen represent the Majority of Fighters.
It's like this Character is not introduced as a Rival to our Main Characters Journey, but more like a Destination, and the Author went even further & made reaching his Greatness among Dreams of Main Characters who are supposed to represent Biggest Dreamers in World of One Piece, those whose Goals are almost impossible & people don't even dare declare, such as finding One Piece, finding All Blue, discovering Void Century, drawing World Map, stopping Racism, curing all Diseases ... etc
So Mihawk is literally a Walking Dream/Treasure, but One which doesn't hide or need a Map to find, it's a Treasure which sits in the sight of everyone & directly say to you: "Claim my Throne if you dare". Which was presented in one of Coolest Scenes ever, when Mihawk challenged Zoro & he didn't even hesitate to declare his Name as The Strongest, as the one who sits at The Top, all Alone !!
Unlike Yonko for example who even as Strong as they are, they are still Rivaled by each other, so neither of them can do what Mihawk did, the best they could say is "If i did that, if i had that, if i acquire this, i will become Pirate King". But Mihawk doesn't need anything or anyone, who is already sitting on his Throne with no peers.
And Oda went further & made him even go & meet a Yonko who is not just any Yonko, He is the one who inspired Main Character & gave him a Challenge to surpass him, someone who according to Oda represents himself & yet this Bored Swordsman doesn't hesitate to look down on him & tell him that he isn't worth fighting anymore !! But ofc, there will be doubters & they will say that they are Friends so it was just Words to tease him & they weren't Serious, so Oda decided to make Mihawk completely absent from Two Yonko Meeting & yet they couldn't help but mention him, associating him with the Fame of Shanks, calling the sight of fighting him to be Legendary & Unforgettable!
And that's not all, the Author doesn't want you to respect this Character only, but he also wants you to really like him & await his Next Appearance, so he reinforced his Claim by giving him a Cool Design, Best Linguistic Style in my opinion, a Prideful Personality unlike any other, Unique Weapon, Unique Eyes, bored because of his Power ... etc
And currently even after 1000 Chapters, Mihawk is still Very Mysterious, his Throne still unchallenged, his Haoshoku Haki is indirectly Hyped, his Eyes are the same as the one who sits on Empty Throne, his Black Blade holds some Mysterious Power ... etc
Not to mention what Viver Card says about him, or other Databooks or Video Games or his Scene in Stampede Movie or the way Oda mentioned him in SBS ... etc Imo i can go on & on describing this Character, but all i will say now is that Oda succeeded massively in hyping me about him & making me want to see him as the Center of a Story Arc & his Role in Final Arc.
I can also describe how Zoro vs Mihawk is most awaited & most impactful Fight in entire One Piece World, but i believe witnessing it is better than reading about it, so let's just wait