Well, first off, you say we have it, then you say it can be shut
  off and turned on it, then ask if we had it at all to begin
  with. But besides that, and the general oddness of all thought
  experiments, under those strange conditions: a) You have it
  because it is something that can be turned off. b) Those moments
  the computer is on, you have it. c) Those moments the computer
  is off, you don't have have it. To me, it's equivalent to having
  a fast-switching narcolepsy, or a very nasty type of epilepsy.
  Do you have free will when the neurons are firing wrong? Only as
  much as constraints allow. With overwhelming external influence,
  free will and brain function itself can be eliminated. I'd
  consider it a type of sleep or death in that case.