Kaido recovering from his defeat thanks to an ability designed to do that doesn't take away Luffy's feat of defeating him.
Just go back to Impel Down to see how characters view the defeat of awakened zoans.
Chapter 532:
Chapter 544
Yes Bon Clay, you did defeat it!
However, as Crocodile explains, after being defeated, they don't stay down for long!
Luffy defeating Kaido in a 1-on-1 will be proof that Luffy is finally ready to become the Pirate King.
Zoro killing Kaido post-awakening will be proof that Luffy's crew is worthy and dependable for the Pirate King.