That's the practical purpose, faster cornering, faster takeoff. It's been tried before as well. For example a version of this car from 1978 Formula 1:

https://en.wikipedia.org/wiki/Brabham_BT46

"The "B" variant of the car, also known as the "fan car", was introduced at the 1978 Swedish Grand Prix as a counter to the dominant ground effect Lotus 79. The BT46B generated an immense amount of downforce utilizing a fan, claimed to be for increased cooling, but which also extracted air from beneath the car."