Would the gains in cooling outweigh the fact that every wheel is adding quite a bit of resistance to it's rolling.
I think top speed would be seriously reduced, and the cars would have to be redesigned around the fact that most of the aero is to direct the air as far from he wheels as possible as they are the one thing that the teams can do very little with aero wise.
If a car is going 100MPH, is it not more efficient to direct air already at high velocity into a brake duct that is jut an open hole, or to have more mechanical and aero losses by resisting every inch those wheels turn?
One a road car, maybe it makes more sense where ultimate performance is not paramount. They are more about compromises than F1 cars.
Don't let me stop more ideas from flowing out thogh