Go-around = firewall the thrust levers. None of this messing around with buttons
Embedded at page 87 of the GCAA accident report, and edited for brevity, the investigator concludes:
"that a manual advancement of the thrust lever followed pushing to TO/GA switch as the aircraft gains altitude will ensure that the crew will remain in control and maintain full awareness of change in engine thrust.... the investigator recommends that the FAA performs a safety study in consultation with aircraft manufactures for the purpose of enhancing the autothrottle system and TO/GA switch inhibit logic so that pilot errors due to overreliance on automation will be avoided".
There is more, but turn to page 87 if desired. Trigger Alert - the complete report takes a lot of reading.
Manually advancing the thrust levers towards GA and then pushing TO/GA as a secondary action, is good airmanship during a low altitude go-around. At the very least, a pilot can feel the thrust increasing rather than assuming power will increase on pushing a button.
The momentary hesitation and initial confusion that is bound to occur if pushing TO/GA fails to give the expected increase in power can lead to a critical situation as the crew of the ill-fated Emirates 777 discovered to their cost.