I wonder if when the officer stops you he hasn't already run your license plate and knows a few things about you ! In NY we don't have to notify the officer .
Thats one of the many things the NRA has fought for is to keep CCW private. Here in FLA when they run or swipe the drivers license all that comes up is the info that MVR has. Nothing about CCW or gun ownership. I still feel its best to inform whether it required or not. Safest for all involved.