Does FSC organization provide a definition of "product" before?

Actually I have two cases for studies.

In the first case, I order a door frame which is made of 100% FSC material and got FSC-certified with 100% FSC pure label. However due to some reasons, I did not order and install the door core. So can I request the vender to claim the door frame is final product and issue a FSC label with FSC COC number on the invoice?

In the second case, I order 1 door set from another vendor, including door frame and door core which may be connected by door hinge (made of metal). As my understanding from the vendor, the door frame will be made of 100% FSC material and got FSC-certified with 100% FSC pure label (the same case as case 1). However, the door core is not made of FSC-certified wood or controlled wood. So I would like to seek your advice, can I regard the door frame and the door core as two different type of wood products, and request vendor to issue FSC-certified label for the door frame on their invoice, and no FSC claim for another product door core on another invoice?

Thanks