Zoro has expressed desire to fight only 2 individuals in the entire show.
Mihawk and Kaido. Both are world's strongest.
Zoro will always target whoever has World's Strongest title.
It is in his mindset to challenge the strongest people in the world.
If someone stronger than Mihawk exists, Zoro will go after them.
The fandom thinks Zoro wants to be strongest only among swordsmen.
That is wrong. Zoro wants to be the strongest.
Swordsmanship is just his route to achieve that.
Which is why in insight it seems that Zoro wanted to be the strongest warrior rather than the strongest swordsman.
-He never specifically seek to fight a swordsman to fight (except for Mihawk), it just happens that the number 2 of most organizations is a blade user. Even in the land of the samurai he did not actively seek to find the strongest and/or skillest swordsman there. Before people named Fujitora, he seem so to want to fight Fujitora because he is strong rather than because he is a swordsman.
-He is not a swordsmanship savant. I.e he does not know nor seek to know all the swordsmanship technics that exist (like Mihawk), he only took interest in one (the fox fire style) and it is only because it goes with his nindo to be able to cut everything. He does not attach any of the philosophical aspects of the way of the sword to his nindo.
-Except for Mihawk and Ryuma’s zombie, Zoro opponent always have other abilities and/or martial art mastery than swordsmanship (prime example are King and Kaku). Sometimes he does not even fight a blade user ( Kuma, Kaido, Mr.5, the WP’s bounty hunters, Braham)
-Zoro most memorable moment is without sword (« Nothing happened ») and is a testament of his willpower
-Can fight without sword (Davy back fight), his sword technic can perfectly work with other tool (Kamazo scythe, a knife) and he is willing to dropped his sword to bite someone if he has to I order to win.
I do not know if it is on purpose from Oda but it seems to me that, yeah, swordsmanship is just a means to an end for Zoro to attain is real dream : being the « World’s strongest warrior ».