With regard to radio-magnetic interference, there are plenty of instances where poor shielding, ground loops, or other wiring ghosts can allow spurious signals to effect electronics. Once installed in your aircraft, a ghost can become the defining factor in an aircraft's performance - or, as in this case, lack of performance.
Many years ago a Canadian Air Force C-130 Herc had such a ghost: if, when configured for landing, one specific radio was used (for instance, to call short) the aircraft would yaw dramatically - a rather unnerving evolution to manage while crossing the fence. It turned out to be RMI related to an interaction between the antenna lead and a yaw damper, IIRC.
Anyway, radio frequency ghosts are a potential hazard and may explain our 777 loss of power.
