Any dog I've ever known would be running to the fence and barking his head off.
When I was young, I could go over a 7 foot high fence, without having to climb it. Most young criminals, who are fit can probably do the same.
If a dog is napping or chewing a bone, it’s going to take a second to change gears, within that second, the criminal is already halfway cross the yard.
It would probably take the dog at least a second of time to cross the yard to go after the perp and within that second second, he’s over the fence and gone.
The cop following him, however, is now facing an alert dog in attack mode. :)
You don’t know my German Shepherd.
Most times she couldn’t care less. More especially from inside the house.