Wooden carports in winter often protects your car from different weather factors such as hail, frost, snow, sun, so is not a bad idea to have a car parked under carport. You can park cars with roof luggage so you don't have to mount it every time, you go skiing, or on a road trip in the winter. It's also good for you car, that is parked under the carport because it doesn't change climate and it's not exposed to constant weather changes, so you don't have to scrape ice off your windshield, or shovel the snow around it.     
When you are buying carport, specialy if you live in winter areas, is better to buy an V-shaped roof rather than straight, because you have better snow drainage, and less weight damage on your carport, in case of massive snow storms.