Pointless speculation, I know, but I can't help wondering that had there been a Flight Engineer as part of the crew, would the fire still have taken such a fatal hold?
Watching the reinactment of the poor F/O trying to control the aircraft with a row of blank EFIS screens in front of him, in a smoke filled cockpit with no autopilot, and the captain either dead or dying behind him, well, he never had a chance, did he.
At least with a F/E, both pilots could have concentated on getting the aircraft on the deck ASAP, whilst someone else was dealing with, and fighting the fire.