I am pretty sure that I have a cheap and normal one, not one made specially for GS3. That's the light red one with HDMI on the one end which splits into two USB plugs, one goes into the LTE2 and the other one to the power supply. My LTE2 detects it (switch to the TV mode) and my TV knows something is coming in but it just doesn't support it.
Just to be safe before I go out and buy another one to try, do you know if I have the GS3 one, will the LTE2 or my TV detect it at all?