It comes back to what did you brief for in the event of power loss? It would seem sensible to follow what you’d planned in a time of low workload, unless there was a really good reason not to...
That brings me to the final question: from a performance point of view, is an engine considered "failed" the moment it produces zero thrust or the moment it is unable to produce the required thrust according to the phase of flight?
Our SOPs state that an engine that is unable to provide TO/GA thrust is failed. Doesn’t meant that you shouldn’t keep it running, though.