Iíve seen many pics and even deer in person who could care less about coyotes. I think the deer can sense when the coyotes are on the hunt and when they arenít much of a danger.
Our place used to have only have a few coyotes and to see one was rare. Twice, I watched bucks circle a coyote and charge at him. Now that we have more, they donít seem to get along as the same. Our deer donít really run but I donít see them charge anymore either.