Our neighbors are Amish and Mennonite. We know and interact with many of them including people who left being Amish. And even the ones who left and have issues with the Amish, I have never heard or seen any incidents of child abuse.

Do you have some evidence of systematic Amish child abuse beyond your stereotype of "socially conservative people rarely handle their family matters in public"?

Child abuse exists in the world, among tech founders, politicians, Amish, atheists, etc. I am simply saying, based on direct interaction and knowledge that it is most certainly uncommon in Lancaster Amish.