your ZoC doesnt increase past the borders of your Planet,
what you see on the map is your ZoI (Zone of Influence)
I dont think it makes much sense to get or lose logistics because of Influence
Maybe that should change. Why do we get reports of ships in our zone if everything is international waters except for the starbase, shipyard, and planet? Maybe we need to make hundreds of really cheap ships that can blockade borders. I can't imagine what a nite mare that would be to update their locations as the influence borders shift like sands on the ocean.