Well. That's what they're always falling back on when convenient, the rules - but they regularly break them as they see fit too. They're gods. For any issues I have with them, they're still powerful that way.

[ annabeth can acknowledge the power of a god and simultaneously hate the way they use their children. ]

They still keep having children with mortals, so it's not like they can really stay away. They're tied to civilization, so they need the mortals too that way.