More thoughts on the PJO/Batman crossover (some suggested by @anastasian-dreamer)
Bruce and Jason carry around drachma after they learn about Percy being a demigod. They knew that Diana was one but she'd let people believe the gods faded. Knowing its not true have them doing this.
Dick also does though for a while he doesn't hang around them. He's to angry. However Sally ends up drawing him out of his anger. She is the only reason communication happens.
Jason still dies. He and Bruce are fighting and while he loves Sally he's curious about his birth mom. He tells Percy where he's going but that's it. Percy doesn't tell his mom until it's to late.
Percy blames himself for this and is so angry. Sally debates about sending him to camp early. But doesn't because she's worried about the propchey as Diana told them about it. She wants her son as safe as possible. This leads to Percy acting out bad. He is sent to the school he gets sent to in canon, where he meets Grover and Chiron.
When Charon is talking to Percy, Annabeth and Grover, he says “well at least the Gotham brats know how to pay properly.” As Jason is known to be dead it isn't hard to connect the dots.
I'm kind of torn with Tim Drake. I love him so much but I can also see him being incredibly insensitive to Percy cause Batman needs a Robin and he doesn't understand why Percy won't step up. It's a mess and it takes a while for Percy to get along with Tim after that. Doesn't help Percy has to go to camp.
Also the Minotaur and Sally bring kidnapped by Hades still happens.
