Like Randar, my dogs don't seem to have any interest in hops. Once I left a bowl of fresh hops on the ground, like a bowl of pop corn. I watched a movie and let the dogs know I didn't care. No interest.
By the time cones develop I will likely have cut the leafs off the lowest level of my bines, which is a back up to the fact that my dogs don't care about hops.
I don't have chicken wire, I don't have a fence, my dogs just don't care. Now I have a patch of rye growing that's a whole different story. My dogs are killing my rye yield as they eat it and then puke it up on the lawn, but that's a different story.