The 9th amendment just says the Constitutions enumeration of rights isn't exhaustive. That doesn't mean that anything you want to call a "right" exists just because it isn't mentioned in the Constitution. You still have to show its existence some other way. Typically, this is by showing that the right existed historically. No general right to privacy has existed historically, at least not in America or England.
Actually it shouldn't. U.S. Constitution, Amendment 9:
"The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people." [1]
If this had had a good-faith interpretation in US constitutional law, many decisions would have been more favorable to individual citizens.
It's not the words that are decisive, it's the cultural willingness to honor them.
1. https://en.wikipedia.org/wiki/Ninth_Amendment_to_the_United_...