>> it bars the press from reporting any information unless they get it approved for public release by an appropriate authorizing official
No, the rules don't pertain to reporting any information, they pertain to unauthorized reporting of two specific classifications of information, "CNSI" (Classified National Security Information) and "CUI" (Controlled Unclassified Information). And they don't bar reporting the information, they say that someone who reports the information could lose their access to the Pentagon.
CNSI is "information on the national defense and foreign relations of the United States, including information relating to defense against transnational terrorism, that has been determined pursuant to Executive Order 13526, or any predecessor order, to require protection against unauthorized disclosure and is marked to indicate its classified status when in documentary form".
CUI is "unclassified information the United States Government creates or possesses that requires safeguarding or dissemination controls limiting its distribution to those with a lawful government purpose. CUI may not be released to the public absent further review.
The DoD CUI Program, established through Executive Order 13556, standardizes the safeguarding of information across multiple categories. For example, CUI categories exist to protect Privacy Act information, attorney-client privileged information, and controlled technical information, among many others."