The churches back in the day, before Martin Luther’s reforms, before the Bible could be printed in local languages, very much enjoyed their complete monopoly on the Word of God

They could say whatever they wanted

I suspect a successful ban of the Bible would give them that back.

Though it would be impossible to actually ban and all a ban could do is make the book more desirable to read. It might push people towards the online annotated, hyperlinked editions of the book such as the skeptic’s annotated Bible