Any upholstered furniture or mattress that is made from or contains nonflame retardant cellular foam shall be labeled in a manner approved by the chief. On and after January 1, 2004, all bedding that is made from or contains nonflame retardant cellular foam shall also be labeled in a manner approved by the chief. Notwithstanding the provisions of this section, no label is required for a product that complies with the regulations required by Section 19161 or with applicable federal flammability regulations.