I believe it was
FauxOlivia only when she was
pretending to be 'our' Olivia in the blue world. When she's in her own universe, she's no longer fake, so I call her AltLiv. Who besides the writers calls the other world the "B" world? BOlivia sounds like a country. But maybe when we get the "C" world (aka yellow), I'll change my mind.
Boston Legal concentrated more on the character's Tourette's syndrome. The term 'idiot savant' was a label applied to a man with Down syndrome. Psychologists officially stopped using 'idiot' (IQ<30) as a diagnostic label decades ago. They probably never should have used it, as it was already an offensive slang term. It would not apply to Asperger's syndrome, which by definition is on the high functioning end of the autism spectrum.
The people I know with Asperger's see things with fresh eyes. The inability to generalize is a strength when small differences matter. They are lost in implied, situation-dependent, socially understood 'rules' of behavior, but they notice even the smallest change, and are able to unconditionally accept individual differences without criticism.

I'm an Astrid fan, in both worlds, although I liked her better in the blue world when they wrote her as looking out for Walter behind the scenes. Lately she's been more annoyed at him.