Ultimately, I think Zoro will simply open up kaido's wound. He will go all out against kaido and show he can stand up to the power of a yonko.
However, I don't think Zoro will kill kaido. My reason for this is I feel like nobody will kill kaido.
Kaido wants his death to be something magnificent like Roger or whitebeard's. However, Kaido isn't nearly as honorable as those two. Rather he is a horrible person. I think Kaido will die a bad death.
He won't be heroically killed off by one of the main characters. Rather I think he will have a miserable death.
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No bb is rox not these two.
Besides the whole thing kaido said about a samurai like oden being open his scar was in view to that samurai being strong enough to kill him.
If you reread reverie and the chapters between act 2 and act 3, the Kaido big mom alliance has been referred to as the revival of the rocks pirates several times.
Kaido's entire crew is a parallel to Rock's. They all hate each other and they all want to kill each other, they are only really held in line by Kaido, who's individual strength is what carries the entire crew.