I don't recall any otome game in which you can be the dominant one and pick on guys/argue back with them.
Closest one I can think of is Toma's route in Irresistible Mistakes in which the MC will bicker with him and even call him names. They're equals though, she clearly never has the upper hand. I heard good things about Sweet Fuse but never played it.
I hate being forced into a submissive role with no agency of my own, so of course I'll try to write my own MC in such a way that she can take control of the situation and not let things unfold in front of her eyes. And of course, she's not the one who gets flustered, but the guys instead (why would I want to read about how the MC gets flustered?). That's not to say my MC doesn't get flustered at all, she does, but she can flirt and tease the guys, which is like, never an option in otome games.