As soon as I saw the very first video, I said flaps. The behaviour looks exactly as though the ‘positive rate, gear up’ call was made and the flaps were commanded to retract instead. The immediate effect would be to increase the stall speed and with the gear down, it would immediately stall and start dropping. Pilots pulls back, exacerbates the situation and it drops.
That’s exactly what the flight path looks like.
The gear control is in front and shaped like a wheel, the flap control is on the pedestal by the throttles and shaped like a flap. It should never be possible to confuse them but that’s what I think has happened. If the flaps had been in the wrong place for takeoff, there would have been all kinds of warnings going off.