If only he was the same with Yamato, but I heavily his overt harshness with her stems from the fact that he knows her potential and had high hopes for her and she was basically openly defying him her entire life. This of course doesnt excuse his behaviour with her at all, he was an abusive father. But I find the contrast with how he treated her and the other kids in his crew interesting.
Kaido rightly called her out for being naive and retarded.
Yamato started pretending that she was Oden, Kaido's arch nemesis. And then took the side of rebelling samurai, who are his enemies.
Then there is Kaido's viewpoint that humans will fear and don't accept the Oni/ogre species. This stemmed from Kaido's childhood, where he was respected but feared for his power by the humans of his kingdom. And they just handed him over to make him a marine against his wishes when govt asked them to.
Kaido knew the realities of the world, while Yamato who was naive and sheltered, is an idealistic person.
This difference in experience and mindset moulded their overall perspective.
Kaido believed in anarchy, where survival of the fittest is the rule, in which there are no longer rules which are unfair and retarded in Kaido's eyes - rules which put even fodder celestial dragons like Charlos commanding top tiers like admirals.
While Yamato believed in stereotypical good guy actions.
Kaido still showed her
CONSIDERABLE leniancy.
We know she challenged Kaido countless times. Yet, not one scar or permanent injury to show for it. Kaido just beats her up and leaves, nothing more.
Even Yamato vs Kaido in rooftop seemed like a lecture from Kaido to mend her ways. Dude wasn't going all out, but it was still too much for Yamato to think he was trying to kill her lmao.