The LDS Scouting units have had their share of scandal as well.
The LDS also register every registered church member of that ward who is of scouting age, regardless of activity and/or participation. Thus, their real numbers are grossly overinflated.
But, they do still send in that all important $ to BSA National.
I call BS on your claim that they register every church member with the BSA. I raised 3 sons in the church and none of them were registered with the ward troop. My middle son belonged to a troop sponsored by the Catholic church. Get your facts straight.