While it is true that wolves are predominantly carnivorous, they are omnivorous, opportunistic feeders. They eat what they can get, be it plant, bug, or animal. They are an ancient species that has developed a wide range of survival skills, this includes a variable diet. Which would include hoofed animals, beaver, squirrel, rat, fish, bird, bugs, and yes berries and other fruits can all be found on the wolves dinner plate. So it is in their genes to be able to eat some of this non meat stuff ok. And maybe they find it nutritionally useful. And tasty...
Coyotes will eat voles, prairie dogs, eastern cottontails, ground squirrels and mice. They also eat small birds, snakes, lizards, deer, javelina(A kind of hog), cattle and small insects. Coyotes also eat some fruits, nuts, and vegetables during autumn and winter months.
Wolves and coyotes do enjoy berries, fruit drops, nuts, and other plants and all carnivores apparently eat grass at times (possibly for medicinal value, though scientists aren't sure). This doesn't mean that wolves or coyotes are "optimally" designed to eat plants as "healthy" staple foods. But they are eating them regardless for some reason.
What does this mean. Hmmm. Well, animals know what they want to eat or should eat at any given time. Unless starving and will eat just about anything. Since they do appear to eat a little fruit, berries, or grass, they must want it and can use it for nutrition. So, fresh real foods of mostly meat protein/fat and some veggies or a little fruit is probably what they do need optimally. And have done so for millenia, so they must be adapted genetically to that diet. So since these fruits, grasses, vegetables, and berries have high nutrition and health potential, it would be, well, healthy to give it to them. Seems like. Kewl video huh.