Wow, the discussion has suddenly gotten very abstract and full of hypothetical twists and turns. But, that's par for the course here. Every thread on this site criticizing dog hunting of any kind generally starts out with maybe one actual example of a legitimate problem caused by dog hunting, but then gets silly.

In my neck of the woods, there actually is a fenced reserve where people can run foxes and coyotes with dogs. So, i guess that some folks enjoy chasing coyotes within a 200 acre enclosure. But, that doesn't really address the issue of coyotes as a free-ranging nuisance which is why the vast majority of landowers in my area don't get their panties in a wad if several coyote dogs take two minutes to cut across their south 40.