over dramatic headline of 'emergency landing"
If an engine failure is in the EP's of the RFM they are probably correct?
So to turn a non story into a meaningful discussion: would you shepherd the OEI aircraft on his diversion to nearest suitable or would you press on with your pax to original destination?
Without knowledge of the exact circumstance - difficult to answer that one.
In the first instance as we now have a single engine helicopter out in the North Sea in the dark if you had the option you would possibly stay with them as a first priority. If they did end up in the Ogen you could at least tell somebody where they were and probably not much else?