Maybe I am way off here, but this incident/episode kind of reminds me of the the BA 747 that shut down an engine out of LAX and then attempted to continue to LHR on the remaining 3 engines.
My quick opinion is that at least the BA crew knew what their deficit was, one engine out of 4. This crew really did not know what their actual issues were.
Not even close: the whole issue is they before continuing the flight to destination the crew must be satisfied that they can stay clear of obstacles when (if) the next (second) engine failure occurs. Which is "critical" in the case of crossing the Rockies (and Greenland).
BTW the BA crew had an actual failure, this crew NOT.