That's excessive imo. If he would have shown tendencies in the BM fight, you might have a point, but this way it would come completely out of the blue. Oda seems to handle him the same way he handles Law: He will probably get, like you just said, more diverse awakening techniques and more efficient ways of using them/applying them, but that will be it imo.
In the last chapter of the fight, when Kid had BM pinned down with damned punk, we saw her use the deep black lightning, indicating ACoC, to try to deflect damned punk.
So if Kid learns any haki technique from that fight, it should be ACoC.