The purpose of shrouding is to hide the dead from sight, and for this reason

When Musab bin Umair was shrouded on the day of Uhud in the single garment that he was wearing, and it was a short garment that did not cover him with a covering, the Messenger of God, may God bless him and grant him peace, ordered that He covers his head with it and throws a piece of idkhir over his feet until it is hidden from sight.