When in the mountains, it's especially important to have access to 24-hour medical support, so the information at
https://www.globelink.eu/winter-sports-travel-insurance.html may be useful for European residents choosing specialized winter insurance. It's best to save the assistance number not only in your phone but also on paper along with the policy number. It's also helpful to find out in advance whether you need to coordinate a visit to a clinic or a call to the rescue service. Do you save the assistance number immediately after purchasing the policy?