I place all of my car's radiator cap 'Wings' up-side-down, which pushes the car with a down-ward pressure. This helps keep the car 'grounded' when negotiating rutted dirt and gravel roads. When driving on smooth flat, straight paved roads, I reverse it, so that the wings help 'lift' the car, giving me better gas mileage.
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insomniacshotrods (see 6 posts below) - aside from the optional side-opening of the water cap (I assumed you quickly 'slapped' it on your car for the photo to help demonstrate your point), I believe you DO have the correct mounting of the Winged Ornament. The way you have it is the way I have always seen it on cars. Following both convention and my own sense of 'how it should be done' - I installed my just like yours. Like a real birds wings (eagle or otherwise) the thick part is the 'leading edge' (as in an areoplane wing) - the foreward-most part, leading to the 'trailing edge' at the rear of the wing, thinning down as it goes. So the thin edge should be towards the car's windshield. Ofcourse the feathers are up.
I realize that there are always going to be people who like to personalize their toys, lord knows I do - so up-side-down, backwards, painted, brass, chrome, nickle - it really only matters to the rooster who is 'struttin' his stuff'.
To continue with my own personalizing, after a stint with the 'Wings', I came to think that I they over-stated the cap - I began to think that they were a bit too much 'Clutter', and removed them. getting back to just a Motor Meter. Later I removed even the MotorMeter, and remained with just a plain stock 'Eaton' radiator cap. So I transcended gaudy and returned to 'chaste'. It is called 'evolution'. Or perhaps, 'Getting Old'.