I took time to look it up and it follows the
Flag Code to the letter.
By order of the President, the flag shall be flown at half-staff upon the death of principal figures of the United States Government and the Governor of a State, territory, or possession, as a mark of respect to their memory. In the event of the death of other officials or foreign dignitaries, the flag is to be displayed at half-staff according to Presidential instructions or orders, or in accordance with recognized customs or practices not inconsistent with law. In the event of the death of a present or former official of the government of any State, territory, or possession of the United States, the Governor of that State, territory, or possession may proclaim that the National flag shall be flown at half-staff. The flag shall be flown at half-staff thirty days from the death of the President or a former President; ten days from the day of death of the Vice President, the Chief Justice or a retired Chief Justice of the United States, or the Speaker of the House of Representatives; from the day of death until interment of an Associate Justice of the Supreme Court, a Secretary of an executive or military department, a former Vice President, or the Governor of a State, territory, or possession;
and on the day of death and the following day for a Member of Congress.
That doesn't sound petty to me.