I'm sorry to say that it still doesn't matter.
If he wants rights he also gets responsiblities -- you might want to ask for four years of overdue child support. That might
change his mind about establishing his rights.
But you can't just terminate his rights. He can only terminate his rights if someone is willing to step in and adopt the girl. If he is willing you will have to go through everything ever other adoptive parent goes through: home study, background check, financial checks, etc. Most step parent adoptions are approved unless there are serisous questions about the person.
But you might want to give him the benefit of the doubt. Meet with him and see what's on his mind. Don't go in being all confrontational.
Maybe he's grown up and now he wants to own up.
his daughter too.
But I'm not saying he's her dad. Her dad, her real dad, is the guy who has raised her and taken care of her.
There can be room in her life for both of them.