I am not sure. If your H2 was standard and not gold edition I think you needed to launch H2 and claim a Standard Access Pass in it and then Get Access in H3.
OK… Managed to get everything into PS4 PSN Library. Got H2 Gold Access Pass and H1 GOTY Access Pass done (even before buying H3! lol). Then once I bought H3, PSN automatically placed H2 Standard Access Pass also in my library!
Carryover done… And only now starting to download HITMAN 3!
So far…so good…
P.S.: Not sure if maybe “claim all, carryover, then buy H3” was probably the intended sequence?