No. Since the OG concept of ZKK, stems from the fact Zoro would be upgrading himself by thoroughly cutting through Kaido. It wasn't as simple as killing Kaido. It was actually cutting Kaido up, something nobody has achieved in the series. It would've been a feat above Oden's. Nothing like Garling just stabbing through Xebec, a normal human with normal durability. Kaido's durability is remaining the same whether K.O'd or alive, due to his natural composition with the dragon scales.
There were different variations of how exactly that scenario would happen. With Luffy switching to BM to Luffy getting K.O'd but Kaido falling on top of the capital so Zoro has to slash him up, so on and so forth.
ZKK wasn't 1 particular theory around a specific scenario. It's just the general idea, that had various theories under it.