You're not wrong! I used to work in an Amish shop and my boss and his wife really stretched it lol.
She would use an extension cord to use a vacuum in the house, because it's a tool, and They had freezers in the barn.
In some communities they have a community warehouse full of chest freezers to keep meat and veggies through the summer. They can still get block ice for their ice boxes in their homes from town (I did that as job when I was a teen) but in reality it just depends on which community you're part of, but for the most part as long as you don't have power inside the house it's kosher.
But... There's an increasing number of communities that allow for solar power if it's only used for things like heat, light, and other utilities. Just nothing like TV, radio, or Internet devices.