The provisions of this chapter providing for the payment of workers’ compensation asbestos workers’ benefits from the Asbestos Workers’ Account shall be operative only until January 1, 1989, and as of that date all payments from the fund shall be terminated, and the state shall have no further obligation to pay asbestos workers’ benefits, unless a later enacted statute which is chaptered before January 1, 1989, deletes or extends that date. However, if no statute is enacted to delete or extend that date prior to January 1, 1989, the authority of the Asbestos Workers’ Account under this chapter to recover the benefits and costs paid to asbestos workers prior to that date shall continue until the benefits and costs have been recovered.