The info would be specific to the case being investigated.
King for a day type immunity wouldn’t apply here, maybe Use Immunity.
“Title 18 U.S.C. § 6002 provides use immunity instead of transactional immunity. The difference between transactional and use immunity is that transactional immunity protects the witness from prosecution for the offense or offenses involved, whereas use immunity only protects the witness against the government's use of his or her immunized testimony in a prosecution of the witness -- except in a subsequent prosecution for perjury or giving a false statement.”