"Doxing" has negative connotations.

Its almost always associated with a private person (ie not police or anyone of a judicial system) releasing personal information with malicious intent.

As the person above you said, semantics are important. This is a judicial system specifically searching for a person they believe to have caused severe criminal harm.

While I don’t think this case is accurately described as Doxxing I also reject the definition that the state can’t commit Doxxing. The reason this situation doesn’t count is because of due process, not simply state action. The state is not infallible, regardless of what immunity may try to establish.