Got statute to cite? As far as I know, this is the only relevant statute and it very clearly only applies to someone with a CWP who is currently carrying a weapon on their person.
"A permit holder must have his permit identification card in his possession whenever he carries a concealable weapon. When carrying a concealable weapon pursuant to Article 4, Chapter 31, Title 23, a permit holder must inform a law enforcement officer of the fact that he is a permit holder and present the permit identification card when an officer:
(1) identifies himself as a law enforcement officer; and
(2) requests identification or a driver's license from a permit holder."
23-31-215 (K)
The statute is up for interpretation. I interpret it as a permit holder has the duty to inform when asked. Do you really think that if you inform a SCHP or other SC LEO that you are a permit holder that the next question out of their mouth WON'T be "are you armed?". Try not informing during a traffic stop in SC or better yet, tell the officer that you have a permit and when he asks if there is a gun tell him "I don't have to tell you that, I just have to tell you I have a permit" and see what happens....My family has lived there since 1976. I have been stopped several times and they always ask.
Most are pretty cool about it, they will say something like "just don't reach for it"....