If he would be awakened already, he would make it similar as with Katakuri:
Oda had enough chance to give Kaido a small speech where he state that he is awakened to like Luffy.
But he didn´t, same for BM, people assume something of ass to give a character a ability with was never confirmed.
Do you think Oda is this low and offscreen/no name a awakened power of a Yonkou?
There is a reason why Kaido power get special named with Drunken mode, that is not awakened power so far.