Wow
You're going to wait until ECAM 'tells you' (whether??) the engine has failed? Where does that little gem appear in your emergency brief?
In my airline, if a copilot (who is monitoring the engine instruments as PM) identifies an engine failure. He/she will call STOP! Why on earth would he/she call "engine fail"???? Nobody has explained why he/she would not just call stop!
It's all clearly briefed. I fly with people who are well trained. There is (and has been!) absolutely no issue whatsoever! Maybe you fly with poorly trained F/Os? I guess I'm just lucky?