Let me give you a Hint
Mihawk is Knight-Looking
Zoro is Samurai-Looking
Mihawk is The Clairvoyant Swordsman
Zoro is The One-Eyed Swordsman (Gets Lost Everywhere)
Mihawk is Marine Hunter
Zoro is Pirate Hunter
Mihawk is Religious
Zoro is Atheist
And this goes deeper than people realize
But let's just say that both Zoro & Mihawk left their Homes & were Unable to return
However for "Opposite Reasons", cuz They are Two Faces of Same Coin
In other words, Zoro failed to return to his Island cuz "He got Lost"
Mihawk fails to return to his Island cuz "His Island got Lost"
Mihawk is from "Laugh Tale"
So He is Extremely Important to the Lore & it's why it's so Important for him to be Zoro's Endgame Opponent
Just like Poneglyphs, They are Robin's Dream & They are said to reveal Void Century, but then it was revealed that there are Special Poneglyphs for finding Laugh Tale, so expect to see all of SH's Dreams to actually be related to Laugh Tale in one way or another, and Zoro's Dream is No Exception, Mihawk is from Laugh Tale (Doesn't mean He knows what is One Piece though)