So you are going to use the fact that Mihawk was a shichibukai to discredit him? Blackbeard was a schichibukai too now is considered a yonko. Or do you think that Mihawk is as strong as moria or buggy?
The only difference is that you guys cant possibly consider the possibility that Shanks could be weaker than someone (even if just by a little) so you will try to find all sorts of excuses and reasons to put Mihawk lower when neither him or mihawk have any concrete feats.
Some go as far as saying that Shanks is not a swordsman just so it could fit their headcanons.
What if Mihawk is stronger than Shanks? it doesn't take anything away from the yonko he is still a top tier fighter in his verse...
Mihawk was Shanks rival but is the only one who got the world strongest swordsman title at the end of their many duels.
Finally, there is a reason why Zoro's objective is Mihawk and not Shanks.
I personally wouldn't care if Mihawk was stronger than Shanks... I seriously wouldnt. My sister got me into One Piece when I was 12 years old. The first episode I saw was Mihawk splitting a Galleon Class Pirate ship. The sound and the fact that it took some a few seconds to realize what even happened as they fell into the sea. Ot was perhaps the greatest introduction on a swordsman of any anime I had ever seen.... and I'm a huge fan of bleach where there was nothing but swordsmen. I put Mihawks introduction in the same vein as Yamamoto revealing Ryuujin Jaka. It was absolutely epic.
I don't think Mihawk being a stronger takes away from Shanks in the slightest. Why would it? Shanks isn't seeking to be the strongest in the first place. He is more than content to sail the seas and party, keeping the peace. How Mihawk being stronger than him affects him in any way.
The issue is, if your going to put Mihawk over Shanks your going to be filled becUse it doesn't add up.
Mihawk stopped fighting Shanks YEARS before he became a Yonko. Mihawk never fought Shanks when he had a title that mattered nor do we know when Mihawk had the title or if he had it at the time of the duels. But what isn't acceptable is saying Mihawk is still stronger that Shanks when he didnt fight Shanks while Shanks rose to power as a Yonko. Shanks certainly didnt LOSE power, in fact the opposite is implied.
Mihawk isn't shown to be respected or renowned by anyone other than fodder. That fact that Crocodile and Mr. 1who got fucked by rookies and thought he could even entertain Mihawk for a second speaks to this. In fact, when speaking of pirates capable of stopping Blackbeard, Mihawk wasn't mentioned.
Mihawk, unlike every other top tier, hasn't been seen clashing with anyother top tier. Shanks clashed with Whitebeard, clashed with Akainu, had a skirmish with Kaido. In turn Mihawk's best fight is with Vista, which leads to my next point.
Mihawk was held up by Vista and instead of Vista swordsmanship being respected Mihawk fans go into a rage claiming Mihawk wasnt serious despite it being known Vistas swordsmanship is top tier and able to compete with Mihawk.
Now while none of these say Mihawk is weaker than Shanks. It does call into question his hierarchy among top tiers, of which Shanks has undoubtably proven amongst.
Shanks being a swordsman doesnt matter because Mihawk refuses to fight him. Shanks could be shown to be 10x stronger (this is all hypothetical) than Shanks but it doesnt matter because Mihawk won't fight him. Mihawk certainly doesnt know Shanks current power level and to state otherwise is headcanon.
And none of this matters anymore because it will never be relevant to the story and they now appear to be more allies than adversary.
But even explaining all this or not putting him above Whitebeard and Roger you are labeled a Mihawk hater lol