Mold and an insulated shed roof
Absolutely, remove the insulation &amp; don't install any drywall. Floor venting is a start, though not needed, but mid-level or high-level venting is best. Bleach the interior down, scrub it with a broom, hose it out &amp; leave the door(s) open for a couple of dry days to get rid of any mold.

A shed must be free to change with the outdoor conditions as quickly as possible. Organic items should not be stored in the shed. So no, Cardboard or Interior Upholstered &amp; Fabric. Outdoor only Cushions, Table Umbrellas &amp; Wood Furniture are mostly fine, but should be cleaned &amp; sunbathed annually.