finnicky7 - Qudos to you. When people come across something serious like this, you can never tell how they will respond. The immediacy and seriousness of the situation can be overwhelming. It sounds like you handled it very well. It sounds like ski patrol were good too. Out of interest, did you call them on your phone or did you have a radio or something? I wonder how many of us ski with a phone but never put the patrol number in our contacts?
I do have a fair amount of training, plus I work in pretty stressful environment (ATC), so I guess it all lined up for this event. As for a phone I always carry mine, and Vail resorts has a ski patroler quick button, which allows you to pick resort, and emergency/non.