Oda is pretending that their rivalry still exists.
While it's been clear, Luffy ended up 1 vs1ing Kaido and defeated him with his own move (Bajrang Gun), and got all of advanced CoO, CoA, CoC, and awakening.
While other 2 ended up 2 vs1ing Yonko weaker and has less bounty than Kaido, defeated her with Kanjuro's bombs, and neither got any advanced haki.