Mine not covered at the new house/property.. at my old house it’s covered with wire mesh because it’s a small area.. but I’ve 7 guard geese to guard my chickens at my new place..Of course if money was no issue and you had an easy way to make it happen (no trees in the way) I’m sure most people would have a cover run.
However, what is your current run like? Covered/ uncovered, size and what is the floor/ bedding made up of?
*please feel free to add a photo of your setup!