Coyotes, wolves, dingos and other wild or feral canines may try to remove other canines as food competition but it’s extremely rare for canines to target other canines as a food source unless they’re starving.
Coyotes may go after dogs for the same reasons they may go after fox…removing another predator that eats the same prey as they do. It’s a territorial/competition issue.
I’ve always had dogs and not only do I live in a coyote-dense area, I rehabbed coyotes for decades so also had them contained on property where my dogs also lived. And for years had a handful of past “guest” coyotes hang out here more than not, often with my dogs. Not a dog was lured, eaten or ganged up on. I’m in New England, coyotes can be different in other areas but still aren’t prone to targeting other predators as food. (not nutritionally dense nor tasty)
FWIW, leaving unattended small canines/cats outside in an area that may have coyotes and/or having them off leash in forest/woods areas is similar to wearing a birdseed hat in a bird sanctuary and wondering why the birds keep pecking at your head. Or wearing a sardine necklace in the ocean and wondering why the barracuda follow you everywhere. If we inhabit their areas…we take precautions with the animals we introduce to that area. :winkgrin:
Just keep your dogs leashed, you’ll all be fine.