From what I saw she wasn't completed in Traumend either...look closely at her "corpse" after Barasuishou finishes her off. The dress around her lower torso is almost level with the floor; she'd have to have nothing thicker than a sheet of cardboard inside to cause that effect.
I guess that's part of the reason why she's such a ruthless player of the Alice Game--she's the discarded prototype who wants to prove herself to Daddy.