I'd bet that Old Smokey and I have shared a bar for lunch up on the hill by Seletar in Singapore!
This was a very usual sim exercise in the DC9 and Gulfstream types. 'Frozen' throttle just prior to TOC.
Energy mangement on descent, take your time, and when ready stop cock the bad one, and by the book the rest of the way in.
What the sim instructor would watch for was if the PF was having too much 'fun'. Then he'd start failing 'stuff' driven by the 'good' engine, or 'stuff' you'd like to have (but not need) for the approach, knowing you were goona shut the bad one and lose all of it's systems.
These types of sim instructors were abused as children.
Another fav was to 'freeze' BOTH throttles at idle at bottom of descent.
Pulled the T/R deploy C/B's, and flew the rest of the flight using the piggybacks for throttles.
Heard the sim instructor's head hit his desk as I proposed, and then did that one.