While it might be true that believing in (mythological) unicorns or in anything that has not been measured or tested does not establish that they are real does not invalidate the existence of Jehovah by comparing belief in the existence of Gods to belief in the existence of unicorns.
- Fisherman
The Hadith hasn't been "invalidated" am I therefore justified in believing Mohammad actually flew to heaven on a horse? Can you "establish" that he didn't?
Harry Potter hasn't been "invalidated" does that mean I'm justified in believing that witches and warlocks actually fly around on brooms and that Hogwarts is a real academy? Can you prove otherwise?
Positive claims require positive evidence. Because things which don't exist and things for which there is no evidence are epistemologically identical.