If the engine has seized you won't get any vibration so I wouldn't have said its a necessecity.
the seized part is a misnomer. Rotors not turning are extremely rare with ram air driving them. The zero RPM monitor on the gauge is typically because the pick up is screwed up by something.
At any rate in real life if you get lots of vibration at the same time as the instruments start hoping you probably have trashed an engine and the worry about fuel leakage eventually happening drives the training concern and the actions taught.