So while it might feel like the insurers were getting fleeced, it was almost certainly the insured who didn't get the copter ride.
As a precaution (having read about it on forums) I had taken an additional insurance from a French shop specialized in hiking and mountaineering (le Vieux Campeur) to cover more events.
Good thing I did because I ended up having to be evacuated for something that was initially considered as acute altitude sickness and turned out to be a lot more life threatening once in the hospital.
Pics/video: https://www.instagram.com/p/DBTpLGtydZW/