Ok, listen-
If there is one thing that is unrealistic about Juno and Jason in PJO, it's that she wanted him to be her champion.
That is one of the most unrealistic things about Hera/Juno. In reality, she would most likely kill Jason painlessly if he was lucky, or she'd kill him painfully if not, or she'd turn him into an animal or something.
She would not take him as a champion. It's explicitly stated that Hera sees her husband's mistresses and bastards as embarassments and threats to her status as Queen Consort. She wouldn't just take one and make him her champion and give her glory.
If we were talking about real Hera/Juno-she wouldn't let Jason survive at all.
Heracles was named after Hera to appease her and it did not work. His name literally meant 'Champion of Hera' and she still cursed him pretty badly. Jason being named after Hera's last champion, who was cast out of her good graces because he did not keep his word of marriage to Medea and offended her, was not going to help him. It was never going to help him.
There's nothing wrong with liking PJO Juno and PJO Jason, just wanted to say this.