Yes, changing your standard airbox intake to a direct cold air intake might have an impact on your fuel consumption. Cold air intakes help the engine breathe better, which can increase horsepower and torque. When the air is colder, it is denser, and the more oxygen that is supplied to the engine can increase combustion efficiency. This, in turn, can cause the engine to use less fuel to produce the same amount of power. So, a direct cold air intake may improve your fuel economy, but it may also depend on the make and model of your vehicle, as well as your driving habits. Additionally, it is important to ensure that the installation of the new air intake is done properly to avoid any negative effects on your car's performance or fuel economy.