Personally I don't think you need a cover in a storage unit - I'd be more worried about some critter getting between the paint and the cover and skittering around. First think in the spring is to just rinse real well and then wash it. Speaking of critters, whenever I've stored a vehicle in a storage facility, I always scattered mothballs around the perimeter and a few under the truck, that either worked, or it was coincidence. Either way, no critters