Hi Lou,

Yes, the normal approach following the valley is not really difficult.
I think they didn't know the site and also had done no preparation. So they did an overfly to see what it looked like and decided then to go for a 360° diving approach between the mountains!
You can say "GREAT piloting"  but  you can also say "careless and DANGEROUS piloting".Probably both are right.   :)

There are business jets of all sizes including 737 BBJ landing in Lszs. The 727 here landed on Rw03.
In 2010 a Hawker jet did about the same thing for RW21. They arrived too high, did a 360 circuit, banked too much , stalled and CRASHED.  :(

After this accident authorities made a theoretical study and a QUALIFICATION flight MANDATORY.
Circuits or 360° are permitted only for Cat A aircraft.
For Cat B and higher in case of missed appropach you have to  re-fly the entire 10 miles final.

For those interested : the "familiarization briefing" :
http://www.engadin-airport.ch/fileadmin/user_upload/SMV_PILOT_BRIEFING_LSZS_FINAL.pdf

Guy