What if for the dragon au, The Mad Tyrant(Joker) never named Red? Like to him all she was, was a beast to do his bidding, so when Jason bonded to her and called her Red for the first time he unknowingly named her.
A very good possibility! Or with Joker and his multitude of aliases, it wouldn’t ve far fetched to assume he’d change her name on a whim every time. The only constant would be their shared mind space in which he irrevocably addresses her.
To other people Red is just known as “Red Terror”, “Red Hood”, “Red Dread”, or something similar, to one constant being “Red”.
So when Jason first addresses her, it’s with that name. Because he didn’t pause to ask for her real name before he killed Joker. So he just assumed it to be lost forever.
Red on the other hand finally gets the pleasure of having a real name she’s always unfailingly addressed by. (Along with nicknames like “my Lady”, and “darling” but nobody’s supposed to know about those…)
OH MY GOD MY LADY AND DARLINGGG AAA
Jason is the most respectful gentleman ever, and his dragon deserves all the sweet nicknames. ✨🐉