Her current form is stronger than Hybrid Kaido, yeah.
Hard to believe that Kidd won't get adv. CoC here in Onigashima cause Kaido foreshadowed it and this seems to be the night in which a lot of Conquerors unleash it for the first time.
Its also possible that Kidd will focus on his Awakening and be reintroduced with adv. CoC next time (another arc), but again I think its unlikely.
In fact I say this because since the beginning of the ellipse, since Kid and Law were introduced and well I have the impression that they have bet a lot on the mastery of devil fruit unlike Luffy.
At Punk Hazard, Law made much more use of his fruit to finish off Smoker. A Dressrosa was not based on the haki but more on its fruit (Gamma Knife face to Doflamingo) Kid even if we have seen very little of him we have seen that everything he had transformed his lost arm into a metallic arm and I have the impression that it is linked to a perfect mastery of the devil's fruit: the awakening.
Again every time I saw Kid his attacks and damage seemed much more related to his fruit than his haki.
While Luffy was trained to have the basics of haki directly from Rayleigh.
And then he found a brilliant idea to create his Gear 4. Oda seems to focus Luffy more on the hakis more than the Devil Fruit unlike Law and Kid.
Dressosa: Only the basics used to beat Doffy
Whole Cake Island: Advanced HDO Wano-
Udon: HDA Advanced
Onigashima: Haki of Kings Advanced This is why I say this that Oda seems to focus Kid and Law more on the devil fruit unlike Luffy who is focused on the hakis with a basic mastery of his devil fruit.