In NM sopapilla is usually a side dish that you fill with honey to take the bite out of chile. Often they come with the meal at no charge. They also have stuffed sopapillas with meat, etc. which is ordered as a main dish.
The best variation was last month when I had breakfast at Rancho de Chimayo north of SF and they had "sopa-pillows" on the menu. These were delicious little sopapillas that were covered with cinnamon & sugar and you could just pop one (or more…) in your mouth. mmmmm.