No you are not missing anything. In fact, this is the most valid argument against torture. The basic theory is that a person will do exactly as you suggest in order to get their tormentors to stop. So information gained by these methods is usually not worth much anyway. We are supposed to understand this and accept it as one of the reasons we don't do this stuff. The idea that these methods are being employed on any level by anyone associated with our country is unconscionable and should make us all ashamed. And anyone who has endured this kind of treatment in the service of his or her country should be granted at least a comfortable living for the remainder of his or her life.