In my experience when training single engine ops in a multi engine airplane, some turboprops and jets are much easier to deal with than a piston twin. Other than verifying the failed engine (or auto feather) there is nothing much more to do than to fly the airplane to a safe altitude. The one thing I noticed on the report is that there was no verification of failed engine securing. In other words when reducing the failed engine thrust lever to idle the monitoring pilot audibly verifies each action to secure the failed engine before moving anything. This would avoid shutting down the good engine and associated systems. No need to be in a hurry, unless unable to extinguish a fire. Not familiar with Boeing procedures or systems, but in the sim the jets I have flown a single engine out even a V1 cut is an easy event to deal with compared to piston procedures. The Hawker 800 I fly is even easier due to the rudder bias system it has.