crimes against children are indeed very different than other offense you listed.
All crimes are not treated the same and the law absolutely makes distinctions between children and adults.
Anyone with a little common sense can figure out that someone that gets a ticket for disorderly conduct faces different legal consequences than someone who commits armed robbery. They are both crimes though and criminal procedure is exactly the same. Child abuse is also a crime and treated just the same as any other crime. There is no special category for child abuse, it is in the same Penal Code with all the other crimes and classified as a Felony with all the other Felonies of the same rank. There is no difference.
Therefore, If a litigant can Supeona private church communications about child abuse to help his civil case, there is nothing special about that crime to somebody else that also wants church privacy files disclosed to help his case about non-child abuse, such as a prosecutor, a victim of a crime, the Federal government going after someone for tax fraud, etc. Sure children should have special protection, but victims of other crimes are entitled to nothing less in getting the same justice and so should other litigants in other civil cases getting the same money and society should also be protected from criminal conduct, not only child abuse but from other crimes too. So, not saying that children should not have special protection, they should, but also others should be entitled to the same justice. --They should be treated the same.