I am not a pilot and I don't play video games, but it seems to me the reason the gear had not been raised is because one of the pilots's hands were on the fuel shutoff switches depending on which pilot was operating main gear while other was assigned for the rotation or take off. Voice box shows too much of a time gap in communicating and too calm attempt to re light both engines almost intending for there to be a full flame out making recovery impossible due to altitude and angle of ascent as you need nose down or level at best and altitude to recover but even a relit engine would still cause a stall at this height and angle...just an amateur opinion of course but it certainly looks very suspicious unless it was some mechanical fault with both switches but as far as I know they are both mechanically independent of each other so any trigger mechanism would have to be co joined for this to happen I would imagine and the manufacturer would have already factored in this scenario in my amateur opinion.