I think it's too vast… For me, Osaka is a little awkward, relatively cheerful, extremely intelligent and out of the box, and then (a little) insane. I'd add here Harada from "Heisei Umare". She's literally Osaka, but with more biological approach to life. Imagine being taller and stronger. And have a physical advantage over a smaller character. This manga is strangely similar to Azumanga.
>90% of the time, you think the character is just plain nuts
nah, it'd be Tomo if she was actually smarter than she looks