I know the basics so let's skip the primary and secondary rules set, I specically need to know whether or not they take penalties for multiple natural attacks in a full attack action if everything's primary.
Pathfinder Adventure Path, Lost Omens, Rulebook, Starfinder Adventure Path Subscriber
There are no penalties for using primary natural attacks. Not that they are immune to penalties from other sources, just none inherent to making attacks with primary natural weapons.