Like many things in aviation, we tend to mix things up from time to time. "Charlie Charlie" is a term normally used in HF transmissions. When we use HF Radio, we are normally talking to a radio operator, who then relays the info to the appropiate air traffic control center via land line. The radio operators work for,i.e.; Gander radio, Joburg, Shanwick, etc. CC,Charlie Charlie, means to "Copy Company" with the information and not just the air traffic control facility.
Hope this clears things up!