It's been done. (That was a t-shirt Gainax released a few years ago that was a collab with some company or artist or some such.) but yes, it'd be an ....interesting thing to see done. She's much cuter-looking here.
Also, though not as directly related: In the Ayanami Raising Project/Asuka Supplementing Project, depending on how you raise Rei/Asuka she can end up playing the apple-toting witch, the sleeping princess, or the tree in the school play. (The dialogue of rehearsing Rei's lines with her when she plays the tree is pretty hilarious. :|) I'm pretty sure she's got a snow white-esqe costume in one of the games, too, but I can't recall for sure.
Yes, you better be ashamed for uttering the dammned made up language of mangos and anims, with that disgusting word kawaii. Completely unreal and implicative of OCD.