Heya guys,
I can't do any flashy drawings, because I'm going to bed in a few minutes. However, I don't think that would happen, Mika.
A wing, whether on an F1 car or on a plane, is curved on one side and flat on the other (on an f1 car, the whole thing is curved, but one side bulges a lot more than the other). It is that which causes the difference in pressure, leading to lift or downforce, depending on which way up your wing is.
On an aeroplane, the curved surface is on the top, leading to low pressure above and high pressure below. This causes lift. On an F1 car, the less curved surface is at the top, so the pressure is lower underneath, causing downforce. Because the profile of the wing stays the same, the only way to get an F1 car to generate lift would be to turn the car upside-down. It doesn't make any difference which way it's going.
At least, that's what I think. I've got GCSE physics, but I'm not doing it to A-level.
Hope that helps. Goodnight dudes.
--Rubi