Food for thought: take a look at Asuka on the beach there at the very end of EoE. What's weird about her? First of all, the bandages. The only other person we really see all bandaged up like that is Rei. That's the first way Shinji ever saw Rei.
If I suggested that the "Asuka" on the beach wasn't entirely just Asuka based solely off of that, though, it'd be pretty arguable. But here's the other thing thats weird: her eyes. Asuka's eyes are normally blue (or was it green?). So why are they brown in that scene?
I think the "Asuka" on the beach there might actually be some weird combination of Asuka, Rei, and Misato. Obviously, the Asuka part is dominant, but still, there's some discrepancies that point to that... thing being more than just one person.
My friend dubbed her: Rasukasato