...what you just italicized is a superiority complex. A superiority complex almost always stems from an inferiority complex, it's one of the many ways an inferiority complex can manifest itself. So, technically, you're correct when you say Asuka has one, you're just wrong when you say she doesn't have a superiority complex.
And wow. A neurotic disorder that is wholly or partially subconscious. I would not have guessed that. After all, it's not like a neurotic disorder represents a variety of psychiatric conditions in which emotional distress or unconscious conflict is expressed through various physical, physiological, and mental disturbances, which may include physical symptoms, or anything along those lines, is it?