Notwithstanding Section 1253.3, between terms unemployment compensation benefits are payable by the Controller, from funds appropriated for support of the State Department of Education and allocated to the state special schools, upon authorization by the Employment Development Department to individuals who are eligible to receive these benefits under this chapter. These benefits shall only be paid for weeks of unemployment occurring between school terms and during an established and customary vacation period or holiday recess when other benefits are denied solely by reason of Section 1253.3.