I don't feel Dick, Duke, Tim, Babs or Kate are messed up. The others sure but 5 I feel are fairly okay.
Cass and Damian were really messed up before joining the family but they've improved.
Jason has become more messed up since joining the family. meeting Bruce hasn't been a positive thing in his life.
Tim's life got messed up after he joined but Tim himself isn't messed up.