Hello,
The OP is not asking about downforce; but about improving aerodynamics or not. I have a similar small (and flat) extension on the back edge of the roof. I think the affect one way or the other is practically nil.
It keeps snow and rain from hitting the top of the window. Other than that, it is a visual thing. It could have some small affect, but I don't think it does.
Further comment on the disparaging comment above: all cars can be affected (good or bad) by aerodynamics -- it affects the handling and stability. Short of a wing of a COT or a F1, there are no street cars that need downforce to help get the power on the ground...
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