Physics is physics...
Aerofoils don't work well in turbulent air. So as long as cars rely on aerodynamic downforce to deliver their cornering performance, two similar cars with similar drivers, the one in front will most likely be able to brake later and get round the corner first.
They could take the wings off new F1 cars or render them useless (as per Formula E where the wings have very little angle of attack and are more cosmetic IMHO than functional), but the lap times will be pedestrian compared to the current cars. No 5G in the corners, maybe 1.5G. No 6G under braking, again maybe 1.5G. Racing might be closer, but a current F2 car would then trounce the new 'wingless' F1 car.