Red Hood has become a very popular character but he still doesn't have a symbol that truly represents him. The red Bat symbol needs to go. I can understand DC using it when Red Hood and the Outlaws was launched. It may have been needed to draw in new readers who would see the Bat symbol and immediately know it was connected to his universe, making it more likely that people would buy the comic. But now that Jason is one of DC's most popular characters he really needs his own symbol.
I would bring back the chest symbol introduced during Grant Morrison's Batman run. but definitely don't bring back the lip stick head.