If you have a 1/2 tank as opposed to a full tank, do you notice a performance increase? How about full tank vs. almost empty?
1 US gallon of fuel weighs about 6 pounds. So if you don't notice the difference of a 1/2 a tank of fuel you might not notice the lower wheel weight.
But every little bit counts, and if you really like the look of the wheels I say go for it. It won't hurt performance even if it doesn't gain all that much.
Heavier wheels are more than just static mass, thus your fuel tank analogy is faulty.
Wheels are rotating, so they not only posses linear kinetic energy as if they were static but also rotational energy. Thus more power is required to get their mass up-to-speed, or stopped.
The gyroscopic effect of heavier front wheels will make steering feel heavier and the driver will have less feedback.
Lighter wheels/tires increases the response frequency of each suspension corner, allowing the suspension to react to changes more quickly which will improve traction and handling characteristics.
I find that all of these characteristics are noticeable when a reasonable portion of unsprung/rotating mass is reduced. Specifically I notice these effects when I change from 16in winter wheels/tires to 18in summer wheels/tires.