Depending on how the mount is built he might be able to place a flat cover between the wheel and hub. This could be done using wheel spacers assuming there is some extra space to push the wheels out a little with out it sticking into the air stream.
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There's really no downside to light weight, though. It's better for acceleration and braking, as mentioned by vago above, better for cornering, better handling on bumps and rough surfaces, etc.
You could mount it with zip ties around the spokes.
This topic comes up very often on bicycling forums. Lighter or more aero
The conclusion always seems to be, in real world applications aero always beats lighter. I'm sure everyone reading this can find an exception, but unless that is the only driving you do, aero wins.
I think the bike is not comparable, because the wheels are in the open air and wind can hit straight at them. In a car they are inside fenders. yes Spokes will still stirl up the air but much less than in a bike. But I would say still aero is better for FE. As mentioned above you could have both, with clear polykarbonate covers and nice looking lighter wheels. Good aero and light weight.