Continuity mistake: In the episode that aired on 27 March 2008 in the UK, House has the shot glasses next to each other. Camera changes after a few seconds where you can see House's hands, and the glasses are no longer apart.
Continuity mistake: After Amber hangs up after trying to call House, the angle changes and suddenly her phone is nowhere to be seen.
Continuity mistake: A third of the way into the show when Hadley and House are arguing while walking out of House's office, Hadley's necklace watch is backwards and out of the top of her blouse. When they stop walking and switched to a shot of House then back to Hadley, her necklace watch is right-side front and inside the top of her blouse.
Continuity mistake: Throughout both parts of season 4's finale ("House's Head" and "Wilson's Heart"), Amber is always shown getting hit from the back and sitting facing House, so her seat's back is to the windows. Yet the last time we see the accident, that is, right after she took the flu pills, she is definitely sitting neatly sideways to the window (i.e. the seat is perpendicular to it) and getting hit from the right side. It most likely was done for artistic reasons, as the back shot, shown multiple times, makes for a very neat effect, with her blonde hair flowing around her like sunrays.
Answer: She would have No Reason to know it belonged to the CIA. If she did know he went off in the helicopter, all she would know is that it wasn't an ambulance helicopter.
Greg Dwyer