To use my analogy, the Earth-centered model is free speech, but it isn't worth much, because it is wrong.
And yet in schools around the world people are taught that electricity flows from positive to negative, and everyone is happy. xD
(slightly disingenuous, but I'd say wrong and not useful are merely correlated rather than 1-1 linked)
Seriously? I have never encountered this
Furthermore, once the facts are established, I personally believe it’s important for people to express their ideas even if it’s out of ignorance because then we can know to edify. Not everyone will be willing to listen, learn, and change but without free speech and exchange of ideas I find it hard to see how people will grow effectively.
"It must be worth exploring" is the dangerous authoritarian ideology that is the basis of censorship. It's why free speech is a right. Not the "right to explore those worth exploring".
"What is worth exploring" is entirely subjective.
If we applied your logic, then things like LGBT rights, civil rights, physics, biology, etc are all left to the whims of authority. If people truly thought like you, then heliocentrism wouldn't have been explored because "it wasn't worth exploring" 500 years ago. Actually, it was blasphemy.
You do realize that "everything worth exploring" was pretty much banned, taboo or attacked throughout history? It's why the founders enshrined free speech into the constitution.
Things that are wrong are just as important to discuss as things that are right. It's part of the learning process and part of progress.