NJ atty, not your atty. Any moving violation gets reported to insurance. License points have nothing to do with insurance. It might increase, might not, depends on how their algorithm handles that charge. If it does, the impact will probably be pretty minimal. It's a very minor ticket. I've gotten a similar one and GEICO didn't seem to care.

Don't waste your time calling insurance, their phone operators won't be able to tell you how their algorithm works. None of the big insurance players publicize anything about how their rates are calculated, it's just a black box.