After reviewing the replaced cable and its routing I have concluded the purpose of the cable is to assist the opener with lifting the door.
There is a spring at the top of the travel which is stretched (storing potential energy) when the door is closed. When the opener commands an up movement, the spring releases its energy to assist the motor. I was usure of the HP of the opener model I have and have not taken the time to find the model number to "Google it".
But I always know were to go to talk with people smarter than I on just about any topic. Now where did I put my flux capacitance hyperspanner?