The goats definitely know when its off! YOu can literally see them bristle and step back when I plug it back in after milking time! And that's when the 'clicks' are not audible to me. Cooking slug tends to make it click really loud, most mornings I have to scrape exploded sluggies off the tree where they've got caught in the fencing, yuk.
I believe the fox can tell when its on too. Shame my vet couldnt', he got a ping on the nose