Hmmm idk about that bro, Zoro has a King of Hell, 3-sword serpent technique, and has no clue about any of this. King of Hell: Serpent - Serpent of Hell, three-swords = three worlds
So I don't think there's much there in terms of story wise behind that name. Other than homage to Kaido's potential bloodline relation to the Ancient Giants, the true Onis.

So I don't think there's much there in terms of story wise behind that name. Other than homage to Kaido's potential bloodline relation to the Ancient Giants, the true Onis.
That when combined with the name scheme pretty much guarantees a connection.