Cord cutting does not sever relationships, it severs the 'cord' that builds up of all the 'stuff' that goes on between people. Because of that, it is possible to even cut the cord between loved ones. In those instances, all it does it cut off all the 'old stuff' and allow a fresh start, a new (hopefully more positive) cord to form. With regard to someone who is out of your life totally, it cuts the cord of attachment to that person permanently, because you don't see them anymore, therefore a new cord does not get a chance to form.