Ten chapters later no one bothers for find Big Mom but sure. They all disembark and search for Kaido even though they don't even know he was knocked into the ground. They find him and it's like the dog who chased the car.
Luffy awakened unconsciously, it's possible for Kaido to do the same. Yes or no?
And also, if your argument is that Luffy has to get the final blow, then bringing up a CoC user who has more stamina than him right now and is actually awake doesn't help. Yamato is screwing up your argument, you should drop it.