I've always wondered what would happen in that situation. Do you say something to the cop or not. You really don't have a duty to inform if you're not carrying.
I haven't been pulled over since I've gotten my license to carry (9-10 years or so) but I have had the police run my plates and decide not to pull me over. I can only assume him knowing I have my carry permit was reason enough not to pull me over for whatever dumb reason (he tailgated me for 2-3 miles for some reason. Guess I did something to make him suspicious.)
The LEO don't get much training on CCW law's. I was pulled over by an Ohio officer for doing 50mph in a 35mph before I passed the 50mph sign. He was a hothead because it was snowing and I am one of those who have a truck and think I'm invincible because I have a truck in the snow". I told him the sign 50ft ahead says 50mph and that's what I was doing! He replies its not 50mph until I pass the sign. While he is standing at the window the dispatcher tells him I have a ccw and the argument was on! I was threatened with arrest, tickets, screamed and yelled at! I tried 10 times to explain to him unless I had it on my person (I just left work and the gun was at home) I had no duty to notify and had he not came to my window berating me for doing the speed limit I would have told him. I also told him I wanted a deputy because we were in a township when he pulled me over and contact his supervisor. He told me I was lucky I didn't get a ticket and called me a punk and walked away. I emailed the chief and asked why his city officer pulled me over in a township (township owns 1 mile between city limit) and why I was disrespected and threatened with arrest and screamed at I needed to read law. His chief said he was wrong about the law and asked I come into the office for a mediation. I declined and 3 days later at my place of employment in the township the city officer was sitting next to my truck. I called the dept. and they said he wanted to apologize and talk it over.
A few years later I was on my way to my state peace officer recertification and was pulled over twice because I was running late and if I was late I would be sent home. One officer walked up to the passenger side and saw the S&W case and asked with excitement is that an M&P? I said yes! He asked how I like it and says he wants one and I said hey, I'm sorry I got to go! He didn't write me and all was good.
About a year after that I was pulled over coming down a hill that's 25mph (speed trap) The officer walked up and began talking and I said ccw and he was really cool about it. No ticket either.
8 months or so later I was traveling through town behind a semi and didn't see the red-light change due to the height of the trailer, so I went for it. I looked in the mirror and it was a police SUV. He followed me for 2 miles and pulled me over. He said "did you see that redlight"? I said yes, but I didn't want to get rear ended by slamming on the breaks, so I went for it. He says "oh, I just had to call you out on it because I was in Alabama and did the same thing and the cop gave me a ticket and I'm a cop"! He asked for my license and saw the CCW license and asked what it was. I said CCW and I do not carry my firearm anymore. He says "man! You need to tell me before I start talking to you"! I said sir, I don't have the firearm on me and haven't carried it for probably 6 months. I was told unless I have it on my person or in the vehicle I don't have to notify. He says "you are correct, but let me tell you something son. You walk up to a vehicle and you don't know who your speaking with and all of a sudden you find out they have a firearm. It doesn't make you feel too good". He says "promise me something. Carrying or not carrying just tell us you have the license so we don't find out later. He says pull that crap in Lorain and they will drag you out of the car". I said Ha! They pulled me over on the bridge a few months ago and I had to tell him to stop, so I could tell him I had it.
I got into a really bad traffic crash that involved a hit and run and 3 cars. Ohio Highway Patrol arrived and due to it being mid January asked the older gentleman who was a witness to sit in the cruiser. 10min goes by and the trooper finds out the man has a 1911 on a shoulder holster and is sitting in the cruiser with him. As soon as the first trooper pulled up I walked up to the car and he says "I will be with you in a moment". I said sir, I have a ccw and a fullsize handgun on my right hip. He says "do you plan on taking those coveralls off"? I said no sir! He says "then we are okay then". I asked if he wanted me to disarm, so I wasn't standing around a bunch of cops or people with a gun and he said nope! 3 more trooper arrived and I told all 3 and all 3 were cool about it. After the investigation one thanked me for telling him right way and told me about the older man in the cruiser. He didn't cite the man because he said "its a stressful situation and the man forgot".
Another situation the cop pulled me over because my registration was expired. I said ccw, no gun though. He said okay, thanks for letting me know and said the sticker appeared to have fallen off. He let me go and thanked me again for letting him know i had a ccw.
I now tell them carrying or not. Its not that hard to say a few words!