I worked patrol at a mid-size independent ski area, and there was always someone staffing the patrol phones, which had auto-forwarding so that a call would be answered if a given phone was busy. And as another f’rinstance, Taos has a continuously staffed patrol dispatch center.
I’d bet $$$ it’s much like that at most ski areas with paid patrol.
The bump I ski at has continuous coverage of both mountain radio (all channels) and the mountain operations phones.
Base dispatch and summit hill chief.
Every call gets prompt attention and response.