We have thought about it, its practiced in the Sim:--
If you have an Engine failure during a Go Around when the thrust increased ( the worst time, but it does happen ) then the calls for the Go Around remain the same. ie for the 777 "Go around Set Thrust Flap 20
." It then becomes the same as a V1 Cut situation. Climb out one Engine Flap 20 at Vef to Vref + 15 to reach acceleration height and clean up
It wont take long as you are at TOGA thrust and at or below MLW.
Obviously during the initial climb after gear up and above 400' you should run the applicable Eng Fail/Fire/damage proceedures
I've seen people get ahead of themselves and call "Go Around Set Thrust Flap 5" by mistake
Then they most likely will hear the Stall warning!!