"I believe the Amish and similar sects still use draft horses..."
I'm not so sure about that. I know the Mennonites use "average" size horses.
Great Britain is where they still use draft/breed horses.
(Joan Embry (San Diego Zoo) had/raised Clydedales at her ranch in El Cajon.)
Could be, but it would have to be a heavy breed. My sister and her hubby bought a team when they lived in MN, but I never saw them. Only photos.