Doesn't fitting the roof box backwards not turn it into an aerofoil?!
One problem I can see is the uneven pressure differential across the width of the entire assembly. This creates a lateral force. As to its magnitude, I wouldn't like to hazard a guess. All i can say is that it will increase rapidly at speed! I doubt it would affect the handling, but it might not do the mountings much good if they were designed to cope with a fore/aft pressure differential.
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