This is done both in the US and by the Scots in recognition of the special interests that victims have in these trials. The media is not a victim. They can get the transcripts. Restitution is ordered by the presiding judge in a criminal case, according to the law in that particular state. The court has to enforce the restitution order.
Restitution is something that is paid by the convicted defendants to the victims in the case.
I can't imagine another greater punishment than death. So I'm not quite sure what the question means. It would be nice if they would participate in educating others about the damage caused by hate or hate motivated crimes. I believe they had assistance from the federal government. I don't know if the judge ordered restitution in that case, but the Byrd family, like other families of homicide victims, would be eligible for crime victims compensation from the state of Texas.