I did a little bit of roping with the cattle we had when I was growing up on the farm. And I've seen a lot of deer, some of which I have been close enough to rope, but it has never occurred to me to consider it. Perhaps I unconsciously knew that wasn't a good idea. Or perhaps it was my parents, aunts, uncles, and grandparents that always gave a very simple, and what I always thought was cryptic rather than profound, answer to any suggestions of attempts to interact with non-domestic animals, "They're wild animals."
After reading this story and taking into accounts such as Deerslayer by Ray Stevens I'm thinking my most recent effort to reach out and touch a deer, with my .300 Winchester Magnum, is the most appropriate.