That was my question exactly, Librarian.
His explanation was that telling police will possibly make them go easier on you, as in they're more likely to let you off a ticket if they know you're a ccw license holder.
Maybe that's how I should have phrased the question.
In California it seems like it would put the cop on high alert for no benefit, but I don't know, so I thought I'd ask.
The instructor is a calguns member, I'd forgotten, I can PM him and see what he says.