had the captain of the accident flight had his right hand on the throttle after initiating the go-around, he would have noticed the subsequent inadvertent thrust reduction by the autothrottle. But, using just one arm for pitch control, he then wouldn't have been able to apply enough force to the control column to prevent the excessive pitch-up (*). He too had only two arms.
I am making assumptions here, but I believe they are fair enough. If a hand had been on the throttles when they went to 'retard' the first time and if that hand had stayed on the throttles, then the pilot concerned would surely have noticed that power was not being reapplied as the aircraft approached it's final approach speed. The aircraft could have then remained under control throughout and the second 'retard' would never have occurred.
If your hand is telling you the throttles are staying idle, I defy you not to check your speed - even if your main attention is elsewhere (which it shouldn't be!).