This wouldn't be the first time a pilot killed the wrong engine:
"TransAsia Pilot Shut Off Wrong Engine Moments Before Crash" (2015)
Taiwan aviation officials on Tuesday released a detailed report of how the pilot mistakenly shut off the plane's only working engine after the other lost power. "Wow, pulled back the wrong side throttle," the captain said shortly before crashing.
This whole thread is a tire fire poor logic and critical thinking.
That said, I have seen some absolutely horrendous responses to emergencies go from kinda bad to massive destruction of property, so much so that unless one has trained for the specific emergency, the best course of action is to assess way more than you think you need. And we often have more time than we think, and we make the the right decisions, they are the right decisions because they give us more time.
"TransAsia Pilot Shut Off Wrong Engine Moments Before Crash" (2015)
Taiwan aviation officials on Tuesday released a detailed report of how the pilot mistakenly shut off the plane's only working engine after the other lost power. "Wow, pulled back the wrong side throttle," the captain said shortly before crashing.
<https://www.buzzfeednews.com/article/jasonwells/transasia-pi...>
I seem to recall a Mentour Pilot episode (YouTube channel) describing either that or a similar incident.
Point being that when things start going very wrong you've got to actively think to prevent making them worse.