Every airliner I’ve flown an engine failure is just a “caution” message versus a “warning” message.
An eye opening “exercise” they did at the end of CQ one year at my regional was they would put you on a fairly close downwind and tell you ok don’t use the QRH, just evaluate and handle the situation.” They’d give you an engine failure, then on the other side an engine fire. As soon as the fire bell rang the guy reached up and pulled the fire handle. It was on fire, but it was the only engine giving us thrust close in to the airport. The best description I’ve heard was “there’s two sip emergencies, where you see the failure, take a sip of coffee… Think about it, take another sip… think, then act. Then the more urgent stuff you take one sip.”
I’ve noticed this with myself too where I’ll start reading a QRH fast and would stumble over the words a little bit. Made a more conscious effort to slow down and enunciate every word, which probably rubs off on the person next to you. Slow, calm, and methodical, and the person next to you will likely slow down, take a breath, and think before they act.