If you have had a single engine failure in a twin engined machine, you are now a single engined helicopter with poor performance carrying fare-paying passengers. In case the remaining engine quits (and you don't know exactly why the first one stopped) you should fly a profile that allows for that to happen and still permit you to safely enter auto and carry out an EOL.
Now this might not be possible due to weather but I would love to hear the arguments against this course of action when day/VMC.
And no, this is not tongue in cheek.