(No licenses are issued in the FAA for radar controllers, tower only.)
Ummmm, I'm not sure if we're discussing semantics here but;
While I'm now retired, I have, in my wallet, a genuine FAA issued plastic license with a magnetic strip on back that says:
Vector4fun
(address)
HAS BEEN FOUND TO BE PROPERLY QUALIFIED TO EXERCISE THE PRIVILAGES OF AIR TRAFFIC CONTROL SPECIALIST
CREDENDIAL NUMBER XXXXXXXXX
DATE OF ISSUE 08 APR 2008
RATINGS
RADAR APPROACH CONTROL AUS TOWER
This is completely separate from my CTO, or Control Tower Operators Certificate. The card is identical to the ones for my Commercial Pilot and Instructor's certificates, with the exception the background photos are different.