I am sure that you, like many people, have no problem whatsoever cooperating and working with LEO's on a day in and day out basis. Georgia, likewise, has no "running the numbers" requirement for buyers of sellers of firearms, and there is no registration, which is as it should be.....
However, the recovery of the occasional stolen firearm does not justify a peace officer acting without consent, or reasonable suspicion, if they choose to run the "numbers" on any citizens firearm, even if they don't mind.
Taking a gun by force or threat of force without reasonable suspicion, then running it on NCIC just because a LEO stops you for a traffic offense, or you carry your gun into Walmart, ain't right...it ain't American. Even if the person doesn't mind, it doesn't make it right.
And yes, I am a LEO, and I have been all my adult life....