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My take on this is that it depends if you do mostly highway or city driving.
In city driving, you want a lightweight wheel (a lot of stop & go). Concerning the design, it will not have a big impact on fuel consumption. Speeds are usually low (30-40 mph) and you can get away with a less aerodynamic wheel setup.
Whereas in highway driving, you will want good aerodynamics due to the higher cruising speeds (ie 65 mph). That is why the wheel design can help lower the overall fuel consumption. You can also get away with heavier wheels when cruising at highway speeds.
It all boils down to the conditions in which you will be driving.
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