>>95523623The hyper-adapter originally gained the bat form after possessing Bruce in the future, getting separated from him and then thrown through time. Dr. Hurt then found him in that form and called him Barbatos, identifying him with a demon.
One interpretation before was that he was given the name of a different entity to the hyper adapter, but now it seems like its name really was Barbatos, since they've talked about him pursuing Bruce through time, so this Barbatos is that very same Hyper Adapter.
