The original wikipedia article is about their use by the government on public lands, not their use by citizens on private property. The original article also has a list of cases where these devices have accidentally harmed humans and pets. If that's happening I assume it's also killing animals other than coyotes but there's no one to document those events. That's why I call them indiscriminate.
Regarding private property, what guarantees that people will remove these when they move? Or remember where they put them? I remember finding old school traps on my parent's land growing up, left there by a previous owner. Most were not loaded or rusted beyond operation, but some still snapped when you hit them with a stick. From the pictures, I'm not sure I'd spot one of these devices while running around in the woods...