A washable shell for your duvet. Choose by fabric, fit and closure; there are no health claims to weigh.
A duvet cover protects the duvet and is the part you actually wash. Fabric choices mirror sheets: crisp percale or linen for hot sleepers, smoother sateen, brushed flannel for cold rooms. The practical details decide whether you'll like it: interior corner ties that stop the duvet bunching, a closure you can live with (buttons, a hidden zip or an envelope), and a size that matches your duvet.
Nothing to study here: comfort, looks and easy washing are the point. The heat and moisture points that apply to sheets apply here too.