Very difficult to understand this discussion without knowing Spool RPM, EGT and some other details.
If one were to describe an engine cycle failure than EGT is very important to know. Otherwise I would want to know what's happening to the fuel.
I hate to shutdown an engine that is not real time threat to the aircraft as in the absence of excessive EGT or felt vibration I would take my time in deciding (assuming the fire bells aren't still ringing in my ears)