She didn't really come off as that to me. More like she doesn't trust people around her sister because she knows they are just liabilities to her but she begrudgingly realizes saitama is stronger than her and her sister is safe with Saitama.
I did really enjoy that fight though between the two of them though.
I'm wondering if someone is going to discover King's luck is actually a real tangible metaphysical power and his presence becomes necessary for some encounters. Like his being there at all changes things from a loss to a win.
Maybe not but there's a lot of fan shipping because of this panel https://gamefaqs.gamespot.com/a/forum/1/1eec50d4.jpg
That sounds like the rationalization people would come up for King not having conventional powers. A possibility for sure though.