IME neither inside out nor the method you describe work well and both are tedious. Inside out does not work well, because the cover doesn't obey gravity and ref

IME neither inside out nor the method you describe work well and both are tedious. Inside out does not work well, because the cover doesn't obey gravity and refuses to fall down to cover the duvet completely. It is a secret power of bed sheet covers. That, or it has to do with other things like friction.