For metal receptacle boxes at the end of flexible cords, generally used as extension cords for temporary connections to cord/plug equipment, do they have to be secured to a piece of wood, in order to be 'listed'?
To be "listed" a product or assembly must pass a certification examination by an approved authority. Typically this is done through a company like Underwriters Laboratories.
To keep the "listing" a product or assembly must be installed in a manner that has been approved and included in the product listing.
Strictly speaking the only box type that can be left 'floating' on the end of a rubber cord is a pendant type box. They are not designed to be mounted.