Lets be sure and differentiate between an engine failure and a shutdown. The former it has stopped producing thrust and the latter is a manual shutdown after which it will stop producing thrust.
Talks of emergency turns etc. is most likely after a failure. Sadly, the tick-box sim sessions always include the former and very very rarely the latter. In the real world I hazard the guess that the latter might occur more often than the former. As mentioned it is also a sound education exercise to insert a failure that allows the engine to run at idle and see what the crew do for approach.