Artemis is supposed to be the protector of young girls, not trick them into joining an eternal hunting/death cult, take them to witness wars and punish them if they want to leave. She would not isolate them from society and freeze their biological development. She would not kick lesbians out of the hunt. If Real Artemis met PJO Artemis, she'd hunt her down ruthlessly and slaughter her as painfully as possible.
If Real Zeus met PJO Zeus, he'd be throwing him into Tartarus. What do you mean you're a bumbling, incompetent king that can't be bothered to take care of his own kids and doesn't let the others see them? Tartarus for you, asshole!
If Real Apollo met PJO Apollo, I think that he'd be disappointed. Kind of mad, but mostly disappointed. Apollo seems to be a good dad, but he's still vain and narcissistic when Real Apollo isn't really like that.
If Real Hades met PJO Hades, he'd be roaring at him for breaking justice by sending monsters after a twelve year old girl for no fault of her own just because of what her father did to his lover. He'd be screaming at the way Hades sent his son down into Tartarus of all places for no good reason. Honestly Hades would also throw PJO Hades into Tartarus.
If Real Hera met PJO Hera, she'd be disgusted by her. Liking perfect families only? Beefing with literal children who aren't even Zeus' bastards? Leaving a hero to wander the streets when said hero saved Olympus? No gratitude at all? No, honey, straight into Tartarus for you too.
If Real Ares met PJO Ares.........oh boy, the fight would destroy most of New York, I should think. It would kill millions of people and animals. Real Ares would be rearing to rip PJO Ares apart.
If Real Athena met PJO Athena, she'd be horrified at how Athena treated her lovers and children. She would literally fight her and make her swear on the Styx to never dump babies on men without their consent. Actually, she'd use her wits to throw PJO Athena into Tartarus.