Nah superior haki is not superior swordsman imo. Kaidou wouldve said Roger who is a swordsman, was at the peak since being a swordsman or swordsmanship transcends all, not haki transcends all. Greenbull wouldve said he felt Shanks' swordsmanship or flying slashes or sword technique that was felt by him, not Shanks CoC. Brannew would say Mihawk the WSS who is stronger than Shanks instead of giving a specific condition of surpassing Shanks in swordsmanship. Kaidou, Greenbull, Brannew would not go out on their way to separate the two stuff if one stuff is under the category of the other instead of its own stuff. Akainu should not have been literally affected by Shanks' CoC presence that served as strength difference measurement, while in comparison each Vista-Jozu-Crocodile was unfazed at the slightest by Mihawk's presence against them.
Thats why Shanks is a weaker swordsman who has stronger haki than Mihawk. Thats my stance even since pre-TS, since Shanks displayed Conqueror's Walk in Moby Dick.
You are a detailed person but often exaggerate some scenes to support Mihawk/Zoro points in lengthy essays. You can try to treat Shanks' haki portrayal, feats, recognition whatever by the same manner, and see what happens.
Finally, Shanks who had made two Admirals unwilling to fight against him by showing his CoC, is Oda's self-insert who is also placed narratively as God Nika Luffy's direct competitor to be PK, after WSC Kaidou, while Oda teased about how does he actually fight.