No reference, but engine braking means you don't need to send petrol to the engine (since the engine is being driven by the car's momentum), so there should be

No reference, but engine braking means you don't need to send petrol to the engine (since the engine is being driven by the car's momentum), so there should be no fuel usage. When the car is stopped, then it will use more petrol (to keep the engine from stalling). Assuming all things are equal, then when you brake with your foot brake, the energy that gets turned into heat in the brake pads could have instead been turned into energy that keeps the engine spinning (and so it doesn't need to come from petrol).