The air is coming from one source so some of that same air has to go over the car and the rest underneath. Less on the bottom and more on the top (like a suction cup) give more pressure differential.
Remember the Fan cars? the fans were sucking the air out from under the car.
For the diffuser I like to think of it simple like this:
The diffusers allow air to leave from underneath the car and join back the free air stream with the least amount of restriction.
The front splitter behaves like a nozzle to increase the speed and lower the pressure under the car. The diffuser's job is to aid the "nozzle" by allowing the air to leave from underneath in a way that the air in the throat of the nozzle (venturi if you like) does not get "backed up" due to energy loss by friction and turbulence etc.
They use diffusers in Water pipes, gas turbines, AC vents and some other things that want to achieve a smooth pressure transition and low energy loss.
I think a problem arises when you lower the ride height too much to make the nozzle area under the car smaller. The air flow will come down the boundary layer at the surface of the road. Because the boundary layer is near the surface of the track the air moves slower because of friction, and so the pressure is going to get higher. And as you go from the front to the front to the back of the car the friction slows down the air even more and the boundary layer gets higher.
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I think that is why they "Rake" the floor higher at the back. To keep the flow under the floor away from the increasing boundary layer height. So then the aim is to keep the air moving and get it out from underneath as best as possible.