Big fat NO on any .22 Long Rifle.
Yes, any 22LR would be highly unethical as well as cruel.
No doubt the many coyotes we’ve dispatched with the .22LR are really still roaming around.
Any .22LR from a rifle will kill any coyote with a heart/lung shot at a reasonable range of 50 yards or less. Granted you do have to know your range and you have to put them where it counts, but they will work fine.
The wolves seem to clean up the coyotes in Yellowstone. Of course, then they start eating the neighbors. Not the cats and dogs, the actual neighbors, but, maybe that’s a plus for you.