Not that I've ever heard of, and yes, we do !
This could have been a fuel leak or engine fire, leading to a shut down, hence the divert. One would always keep an engine running - even just at idle if one could - to provide electrics, hydraulics and air.
Re Iqualuit, would you really want to fly past a perfectly sevicable airport on one engine, and cross more sea and frozen tundra with almost no suitable airports ?