She was supposed to be a tsundere taken to a logical extreme, including how a backstory can change someone. However, it generally backfired as she became the icon of tsundere instead. Life is weird.
The point of evangelion was to have everybody being unlikeable. Shinji is generally the opposite of the "cool hero mc" that these types of anime normally have, Asuka and Rei are extensions of the tsundere and kuudere archetypes, etc.
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