Seeing as we are discussing the TOGA switch inhibition now, could someone point out where in the FCOM/FCTM this info is located
There is a general section pertinent to it in the FCTM 'Go-Around and Missed Approach - All Engines Operating'
If the sequence of events was truly as described by the FlyDubai witness then it would seem a mistake was made bringing the gear up too early after the aborted touchdown. The drag incurred by the cycling of the main gear doors is very large and in high temperatures and low density air that is going to have a very detrimental effect on your climb ability.
I've often had RR engines red line temporarily in hot and high conditions on take off.
Obviously pure speculation (it is a rumour network!) but if the ground/air switches had toggled then TOGA would have been unavailable until after take off thus manual thrust required, were the flaps selected to 20 or the gear selected up first?
It will make interesting reading and of great interest to those of us who operate this type to hot and high destinations.