I actually wished to see the trio taking on Kaido all together *after* Luffy unlocked his ACoC. That would of been intriguing to look at from a different perspective. Several providers suggest that Luffy ran out of haki, so perhaps he truly gave Kaido some decently robust issues before falling down. The shame is Luffy unlocked it only later on.
I am still convinced we have an interesting splitup here.
Starting with the "low end", Law. He is a strategist, with an OP Fruit, but is lacking on offense, defense and stamina, so he is more of a background fighter.
Luffy and Kid are the main fighter of the trio, but:
Luffy - Strong in offense, right now more of a glasscanon. He is lacking defense and stamina.
Kid - Strong in defense and stamina. He fight and fights and fights, tanks one thing after another, but he seem quitely to miss some offense. He dont have aCoC shown yet.
So both of them have their specific missing part which they could (!) learn/ with from the other one. Together, they could take on Kaido pretty much i guess.