The main purpose of suppressing information is to suppress information that would make "doxxing" inaccessible. Doxxing is the sharing of personal contact and address information about people without their consent, generally with an intent that the people with whom the information was shared with protest, stalk, or harm the individual doxed.
One category not listed in the OP under U.S. federal law is 18 U.S. Code § 119 (enacted in 2008) which prohibits sharing certain information about jurors and certain witnesses in certain kinds of cases.
Multiple states have passed or considered passing similar laws, including Colorado, some of which have been challenged in court (such as a Washington State law that was blocked by a judge as potentially unconstitutional). According to the New York Times, as of May 19, 2021:
Doxxing is not a federal crime, although federal laws related to
stalking and conspiracy can apply to the practice. Colorado is one of
several states to take steps to make doxxing a crime.
Gov. Kevin Stitt of Oklahoma signed a bill last month prohibiting the
doxxing of law enforcement officers. A similar measure signed into law
last year in New Jersey also protects judges and prosecutors.
The limited legal remedies available under current law are reviewed here.
Legislation is pending in several other states.
The Public Service Protection Act of 2020 was introduced but did not become law.