A couple of topics for discussion.
First, I think "Dog People are Nuts" nailed "Goose's" breed. Goose may be a Brindle Lurcher. Or, WAS LOLOLLULZZZ!
From Wiki: "The lurcher has as many varied uses as types can be crossbred, but generally they are used as hunting dogs that can chase and kill their prey" This seems consistent with the behavior reported in the cop's back yard. Sounds like a great dog to simply turn loose in your suburban neighborhood. Its all good!
Second, the update on next door IS....
... The dog has not been seen or heard from in a week. The guy must have been dog sitting, or the visit from AC turned him off REAL fast. I am assuming the former. If so, the guy is probably the worst dog sitter EVER - leaving a dog tied out on a short leash, in the broiling heat and then a dangerous thunderstorm? Why do dog lovers think this sort of behavior is OK? If we were to ban this type of behavior, the majority of nuisance barking would go away. It SHOULD be a win-win. However, when we complain, we are told to shut up and sit down.
The above appears to be more "bait 'n switch" from the dog loving crowd. "See, dogs are incredibly intelligent, super sentient creatures superior to humans and all other animals!" OK, then why the hell do you leave your dog chained to a truck axle 24x7?? "Who cares, its only a dog!".
This type of behavior is also referred to as "moving the goalposts" and dog lovers and apologistas must be super athletic from this nonstop frenzied moving of said goalposts. It is hard to keep up with them!