about coop with crossplay disabled

I think there's a issue related to the PS5 crossplay setting and social menu

with crossplay disabled;

I can see random people from PSN on the global chat asking for help, then I'll tell them to invite me, but I won't receive it unless I enable crossplay again (without restarting the game)

with crossplay enabled;

I can't see people from PSN on the global chat at all, they're all from PC, but I can see the invites and everything works OK.

TLDR; I should be able to receive and see the invitations on the social menu even with crossplay disabled.