This has actually happened
Just came across this
"West Mountain Ski Center dealt with a highly publicized incident in February 1993, when two skiers spent 12 hours on a lift that was stopped as they were being taken up the mountain.
The men were found after a search that started when loved ones of the two men reported them missing when they did not come home from skiing. They were treated at Glens Falls Hospital for possible frostbite and hypothermia."
That was from a really quick search, bet there are more incidents, maybe we don't hear about them as the resort pays them to not say anything so it will quietly go away?