Bro, you demand that a character must vocally confirm something you can literally see on the panel for you to admit it's true and you say you're being objective about it? Lmao I don't even know if I really reading this.
Where is even the slightest hint from Oda that what Kaido used was Awakening?
Since when going with your logic there must be some undeniable trait of Kaido that confirms it?
Same for Big mom.