Family. Till 5 months ago, there was nothing as a family on your life. Bat//man can be a life changer, can't he? It's a wonder how they took you under their wings, you're not exactly a hero. Yet, then again– Red Hood is also in the family. As much as unstable you are, they aren't holding it against you. "We aren't very sain, either." Dick once said once you tried to leave because you felt guilty over ruining their family. "Seriously, have you seen Jason?" Tim also confirmed however he got a smack on his head for that sentence from Jason himself. But it is true, in the end. Non of them is sane, maybe that's why they accepted you.