Our animals are grazing animals, and it goes against their nature to be trapped in so much snow without any grass or twists to root around for. In the wild, some would probably have starved or frozen to death in this kind of cold. In the Pole Barn, there is dry ground to lie on, and shelter from the snow, ice and wind.
They are very eager to get on hay in the morning, it not only nourishes them but brings them back to their natural state of grazing. Donkeys and sheep are among the hardiest of animals, they adapt readily to almost any kind of weather, they just need good fresh food, shelter and water.