How is this relevant ? Zoro knows Luffy will also be up there. Obviously Zoro wants to slice Kaido, but he also knows that Kaido is Luffy's opponent.
Its relevant because he sees kaido as his own opponent not luffys, he is not supporting luffy like the rest of the crew hes here for kaido HIMSELF
The reason Luffy accepted Law's alliance back in PH was because he wanted to beat up Kaido, after defeating Doflamingo, he became one of Kaido's primarily targets, when they reached Zou and formed their alliance, with Momonosuke wanting to beat Kaido but couldn't because of his age, Luffy decided to take Momo's mantle and beat up Kaido for him, when he came on Wano, the first thing did is think about beating up Luffy(and Law), when Luffy learned Tama's story with Ace and became familiar with her, after learning of what happened to Amigasa village, Luffy aimed at following Ace's will, when Kaido injured Tama, it made Luffy angry and attempt to take him out right away, and after his loss to Kaido, he said he'd beat up Kaido again, trained in Udon in order to beat up Kaido, and when he actually reached Wano, the one who revealed his intention to beat not only Kaido but everyone is Luffy, and Kaido accepted his challenge.
So ? Luffys ties to wano are weak at best, he has no tie that zoro doesnt whilst zoro has way more.
tama -
He literally spent time training with momo -
even taught him sunnachi
apart from that luffys motivation to beat kaido is no different to kidds, its selfish because they both got clapped
Unlike luffy, zoros anger toward kaido has no personal reason to get famous from killing him, its all deep rooted from all his experience on wano.
Firstly oda has had zoro do the same things oden did in his flashback
save 26 year old hiyori/toki
faint
get nursed back by hiyori/toki
had hiyori/toki crying on them in almost identical fashion
zoro tamed odens sword only other person ever
both attacked orochi in anger
both times they were blocked
zoro is still following what oden did
ie he went to sneak and kill a drunk kaido
Now hes at the point that oden reached when he decided to kill kaido
as proven here
his target during the raid from the begining was kaido not orochi despite him hating orochi
even oden had no personal beef with kaido outside of him being orochi muscle
it was orochi who
- killed his dad
- attacked his wife and kids
- made deals with outsiders and ruined wano
he just realized the point as shinobu said killing orochi does nothing when kaidos there
then theres yasu the guy who was with oden in the flashback who made a bond with zoro who saved the alliance with his death
who zoro said hed avenge
YASU HIMSELF SAYS
FOR 20 LONG YEARS NO ONE HAS BEEN ABLE TO TAKE KAIDOS HEAD GO TO ONIGASHIMA AVENGE YOUR FALLEN LIEGE
even yasu knew kaido was the real problem
Zoro has odens will he will finish the job oden failed to do and slay the dragon above the flower capital
Zoro on the other hand supports his captain for him to take out the main villain, whether against Oars and Moria, where he left Luffy dealing the finishing blow against Oars and beat up Moria, him deciding to sacrifice his life for Luffy's dream or post-timeskip where he blocked Pica for Luffy to go to Doflamingo, because he respects his captain, and his dream
zoro is doing no such thing, oda made a very clear difference between zoro and the rest of the strawhats when it comes to kaido
first zoro says
We wont last to fight kaido
from the start ZORO WAS AFTER KAIDO
this is nothing like dressrosa because not only is zoro paving luffys way to kaido like he did with pica he TOLD LUFFY TO TAKE HIM TO KAIDO IGNORING QUEEN
so no he doesnt consider this luffys fight at all
Then zoro separated from luffy whilst the others did this
now the other strawhats
first nami and ussop jump in to take page one and ulti away to pave the way for luffy
Then unlike zoro sanji and jinbe literally tell him they are there to make sure he has stamina for kaido and THEY ARE THERE TO PAVE THE WAY
oda literally moved zoro so he wasnt there to pave the way for luffy as you said and made sanji and jinbe do it instead
meanwhile zoro continues to say what HE is here for
and it has nothing to do with luffy
hes here to kill kaido on his own accord