For juvenile screening and treatment services that a unit of the Department provides under § 9–227(b)(1)(ii) of the Human Services Article, the Department shall bill and collect the cost of care as provided in this subtitle and as if the recipient of services were not a ward of this State. The Department of Juvenile Services shall pay for juvenile screening and treatment services that any person other than the Department provides under § 9–227(b)(1)(ii) of the Human Services Article. However, the Department later shall bill and collect this cost of care as provided in this subtitle.