If it makes someone feel better to say that they are not giving up their gun, that's fine. Everyone likes to be warm and fuzzy. They are going to give it up anyway, one way or another. The side of the road is not a courtroom, nor is it a 2nd Amendment think tank meeting. There is no reason to verbally refuse to temporarily surrender a firearm if you are not going to follow through with your refusal. If a police officer has you stopped for a violation of the law, and is conducting an investigation pursuant to that violation, the stupidest thing in the world that you can do is tell the officer that you are armed, and you are not giving up your gun.
Carrying a handgun in public is a crime in Indiana. People who hold an LTCH are excepted from the prohibition. That's the way it is, regardless of what anyone thinks about rights. Unless you want to be a test case, it's better to act according to real world considerations instead of opinion and theory. No court in the US is going to ever rule that a person who is the subject of an investigatory stop in the field can refuse to disarm. In Indiana particularly, if it was an absolute right, you wouldn't have to purchase a license from the state to do it.
Speaking of reality, in over 12 years in LE, I've never seen or heard of anyone with an LTCH refusing to disarm on a traffic stop. I suppose people are quite a bit braver on the internet than they are in real life.
The best post I have read on this subject. While I stop citizens often that tell me that they have a permit and that they are armed, as a general rule,I could care less. I try to go about my duties with the assumption that everyone is armed. I do not disarm people on infraction stops unless there is something more to the stop. But there are always the select few that think they know our job better than us. They act like card carrying members of the ACLU. Totally unreasonable and unrealistic attitudes about the police being out to get them and out to violate their civil rights.
My advice? If you become a target of a LEO,for what ever reason,do what your asked. And if you fail with number one, most defiantly do what you are TOLD. Usually after those two steps, the third step can get ugly. If you disagree with your interaction, cooperate and then argue your case latter through the proper channels.