Agreed.
Ah, no - sorry: coyote will happily eat cats and small dogs. Here in the west coast where coyote are smaller in size, at my barn a lot of barn cats have vanished over the years, and in the last month alone three dogs were preyed upon.
One chased a coyote that as luring it to the woods before the owner caught it, another was grabbed out of her parked car window by two coyotes (she managed to save it) and the third… only his paw was found.
I found another paw recently too - was canine and would have been a midsized dog.
We no longer have foxes as a result. I do kinda prefer to see coyotes around though - if they disappear I know the mountain lions are around!