After hundreds of hours of testing within the scene, here is the final verdict:
Because the game relies heavily on server connections for progression (the "Black Market" loot system and rank), playing this on a standard PS4 without a legitimate PSN connection may result in a stripped-down experience where you cannot rank up or access all cosmetics. Ensure the version you are installing includes the " Call Of Duty Black Ops 4 Ps4 Pkg
User Experience