I don't know Indy. Good idea but I don't think it is going to fly. First a patient with legal rights to their record isn't going to want to wait for the record to be sent to a lawyer. It may be legal to do so, but I would see it causing problems.
Second, what happens if one parent loses and is deemed to pay? If that person just reneges on the deal, the lawyers are going to want someone to pay. And that would likely be the practice.