Somewhere there exists a pack of coyotes sitting around staring up at the night sky saying to each other, what on earth is the benefit of that guy Winkelmann?

Wink, I know you are plenty well traveled and knowledgeable to know that the answer to your question of worth is flawed from the moment it passes your lips, or rather the keystrokes made the post.
The reason being that everything that we exist with, from plants, to animals, to weather, to each other, can be looked at from a literally innumerable set of viewpoints.
Personally I could care less if they control deer, if they eat mice, or the canada goose or feral cats. Why? Because my home, life, etc... isn't based upon any of these aspects of "service" that could be provided by coyotes or other predators.
Your view is based on a variety of mental constructs that tell you that to you the coyote has no value, yet the fox does, again because of some intrinsic set of values or things you've learned that lead you to feeling this way.
I like this point that I hadn't thought of in years, which is what is the definition of a weed.
The first definition I think fits what you are saying about the coyote, and is as follows....
- a plant that is not valued where it is growing and is usually of vigorous growth; especially: one that tends to overgrow or choke out more desirable plants
Now to me growing up I knew you pulled weeds in the garden so they didn't rob from your veggies and also because it looked neat and tidy.
In college I was taught about things like purple loosestrife and the number of people who would pull over and pick this invasive plant or order it (when that was possible) to plant at their homes because it flowered beautifully, yet it was an invasive scourge in wetlands and refuges...
Again, a weed to some, a jewel to others.
Growing up on a farm, much like many of our clients, I saw certain wildlife as a nuisance or a threat to my rabbits, geese, ducks, chickens, sheep, etc..., however now lacking those animals or threats, I can see a coyote every day and not think anything but wheres my camera, same goes for when I leave to head up north for a bat job and as I'm packing up in the 3-4am range, and hear a pack cut loose howling behind my development I can simply stop and listen and enjoy the song.
Again, it is my perspective because honestly I have nothing to worry about, nothing to lose and I see the coyote for what it is, as the article finishes with that Kurt posted, a coyote is just a coyote, nothing more nothing less.
We often lament various wildlife and their value. If we hunt or trap or fish, the animal might nourish us both physically and mentally during the hunt.
I know that this is one of those statements I've heard from you personally multiple times when coyotes get discussed and of course I get that it is perspective based, but I guess I'd ask, what do you need or want in the animal for it to have value to you and your life?
I have my list of wildlife that really make my day, others that fall further down the list, but ultimately entered this field because of a deep love of wildlife and the outdoors that is only satiated by working with wildlife and even wildlife and people resolving conflicts.
Wildlife even invasive wildlife I can find endlessly interesting and I'm constantly in awe of the adaptations of so many species coyotes included.
How we each rank the things around us again is a personal view, but for me I don't need the coyote to provide a "use" to me other than just being a coyote.
I'll throw you one though in terms of a reason to respect coyotes. While the settlers and those who followed were successful at eradicating nearly every large north american predator, the coyote was never ever eradicated or extirpated in western states. They are the ultimate survivor and I don't believe I know more than a handful of trappers that don't consider them a pinnacle animal in terms of intelligence and wits.
All native wildlife are part of the ecology that they evolved with, predators, prey, plants, insects and everything in between including humans. Every day coyotes are performing the ecological role they were designed and adapted for.
Doesn't mean folks have to love them or even like them, but like the weed in the roadside ditch, to some a nasty thing to be sprayed and killed, to others just something that looks pretty or fills them with a positive feeling.
I know I got all soft and touchy here probably got half of you using words like bunny hugger and anti, but lets be honest here, without wildlife this forum wouldn't exist and all of us would be doing something else for a living. Our lives as wildlife control operators, wildlife biologists, hunters, trappers, fisherman, etc.... is made richer by wildlife and the coyote is a member of that group, like em or leave em...
Good article from the original post, haven't had a chance to read the others LA linked yet....
Best,
Justin