Notwithstanding any other provision of law, the Registrar-Recorder of the County of Los Angeles and the Registrar of Voters of Orange County may, pursuant to agreement between those counties, perform, either on behalf of the other, any and all duties relating to the conducting of the election, the counting of votes, and any other election procedures to the extent that those duties are for the conduct of an election of governing board members for any school district whose territory lies within both the County of Los Angeles and Orange County, pursuant to the consolidation of that election with a primary, municipal, or general election under Sections 1302 and 10404.5.