Oh my god, you had to work while you were flying for once
No, FADEC equipt a/c do not suffer from throttle stagger. Put simply the thrust lever angle on the pedestal relates to a particular N1 speed or EPR setting, so that what you get. The EEC will adjust the HMU to allow for the bleed config of the engines to maintain the TLA/thrust setting relationship.
On the A320/340 however you do not have a conventional throttle quadrant, you have detents at TOGA
, Flex/Max Cont
, Max Climb
. With Auto thrust selected, for T.O. you move the throttle levers to the TOGA detent (or Flex/Max Cont for a derated T.O.) and once airbourne at about 500' (I can't remember the actual fig) you pull the levers back to Max Climb
and there they stay until you get to flare on the appr where you pull the levers back to Idle
! in the meantime the FMS/A/p has been controlling the thrust settings.