I think we are getting muddled up with words!!
Shut down an engine in flight and your are declaring a pan, or even possibly a mayday (depending on conditions). So you have an 'issue'! If its well executed by the crew then there is no drama!! However, a single engine approach will usually require fire services in attendance, and is referred to on the ground as an 'emergency' landing.
If its handled well by the crew then again there will be no drama, but the fact that there was an 'emergency' landing still remains. So yes there was an issue, and yes the CAA will be wanting a report!!
There you go chaps, we shall continue our literature the same time next week.......
P.s. You can find more non-drama events here:
www.aaib.gov.uk
I am sure you will be surprised how many 'non-events' warrant a full report!