I think the key point is "survival" horror.
You don't win by surviving a Terminator. It will just keep coming after you until destroyed, even through time itself. As a few people have said, fighting back is inherent within the premise of the franchise.
Sure you could write a scenario where you get shot down in a city, and have to escape with intel to John Connor on Skynet, and have to get out of the patrolled zone and whatall, but it'd lack the personal horror touch of the machine being specifically after you as a target.
There's an atmosphere of terror in the idea of being entrapped in a war zone, but it doesn't have quite the bend to it to make a horror premise out of.
You don't win by surviving a Terminator. It will just keep coming after you until destroyed, even through time itself. As a few people have said, fighting back is inherent within the premise of the franchise.
Sure you could write a scenario where you get shot down in a city, and have to escape with intel to John Connor on Skynet, and have to get out of the patrolled zone and whatall, but it'd lack the personal horror touch of the machine being specifically after you as a target.
There's an atmosphere of terror in the idea of being entrapped in a war zone, but it doesn't have quite the bend to it to make a horror premise out of.