Are you part of the community, or just live in the area? Because if the latter, it's hardly surprising; socially conservative people rarely handle their family matters in public.
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.
- an anecdote from a "very rural part of Ohio" where the Amish "lived in grinding poverty". I have no experience with Ohio Amish so I cannot comment but what they describe is nothing like Lancaster Amish (the article referenced here and my comments on). - an entry from Amish America talks about spankings, which is a practice statistics show most American parents do https://www.google.com/search?q=percentage+americans+spank+c... From what I have seen of the Amish, I think it is significantly less than the average American.
If you think it is child abuse to not let your children go to high school or to deprive them of the 'real' world, that is a different story.