I have a PS3 that I have purchased the expansion pack for. It shows in the service license but does not show in game. PSN support says that it is in. For PS4 the resolution is reset the licensing. This apparently not available on the PS3.
Talked to Sony and they said that the issue is on Bungie and Actavition. Download of the DLC is your servers not the PSN.
Bungie what do you say?