The bitch we had was a supburb all-round old school poachers lurcher, she was fully at home in the pheasant pen during those full moons, she would retrieve ducks off the water and could catch a hare rabbit and deer aswell as any dog in her day. I know there mixes of lurcher that can do the same. There was no stalking issues that you have with some collie crosses.
Others may have different experiences but I can only speak as I find. Having said that I was only a young lad and the bitch new more than me. Out with the lr9 and a motorbike battery in a wooden box with seat belt for a strap. A