I have stated this on more than one occasion, no scrutiny just once was asked why I answered that way and my response was politely "because it has nothing to do with why I was stopped". Crossed the centerline briefly in Lawrencevile, of course she asked if I knew why I was being stopped prior to asking to which I replied no. Warning. I was polite and courtious.
I also had a pistol under a jacket on the passenger seat, just left Bullseye. Setting yourself up to be at the whim of a stranger is not a good strategy. Following the law is even better!
A properly trained office will take a closer look inside you vehicle, do an criminal history check on you and all this will prolong your stop. Do what works for, B/C you got a lazy office last time does not mean that will be the case the next time. You did not do anything wrong. I have just found being honest and direct has always worked out for me.