My question is - if the engine cut at the time of this photo what is the pilot trained to do?
Enter an autorotation. The SFAR in place at the time of that photo required pilots to be 1,500 AGL unless on certain approved "scenic areas" where one could go down to 500 AGL or on "transition Segments" where one could go to 1,000' AGL except razor back ridges which could be transitioned lower. The routes were pre-approved and tested for landing spots should the engine quit. (That picture I believe is from one of Blue Hawaii's aircraft and appears to be a composite because the screen does not match the view outside.)
It can be very deceptive when you only have a photographic view vs being there in person and knowing the approved landing spots.
The FAA in conjunction with the operators determined the "scenic areas" and various transition segments and routes. An operator had to be signatory to the "letter of agreement" and be issued "Ops Specs" in order to utilize them or else had to remain above 1,500 AGL except for take off and Landing. Of course these days we have FAR 136 which you can read all about
Here.