Exactly the same as dogs. I’m glad that dogs don’t wear steel shoes.
Yep, a horse can put the hurt on you for sure.
A friend's wife decided she wanted a few of those miniature horses. They grew a few inches too tall to show but they kept them as pets. Never shod, fortunately, because they had the run of the house and still beat the heck out of it. In the summer the doors were always wide open and the horses were everywhere - upstairs, downstairs, sleeping on the couch. Ornery little buggers too. They took great pleasure in sneaking up behind you and nipping you on the butt.