I just heard an eyewitness on the Dutch television, who was seated just aft of the wing (seat 19F). He recounts that the airplane made some strange movements before he heard the engines rev up to full speed. He clearly stated that the pilot must have applied full power, because the engine noise was really loud. It was however too late and shortly thereafter the aircraft smashed into the ground.
This would clearly mean there was no fuel starvation and that the pilot did indeed select TOGA-power. This would also indicate that there was no problem with the engine. The theory of a/t being disengaged without the pilots knowing seems more plausible by the minute.