The front wing does generate vortices and they are probably even much bigger than the ones from the rear wing. You guys just focus on the wrong point of the wing by looking at the outer edges. In fact the sharp cutted wing tips on the middle of the wing are deliberately done like that in order to generate a vortex which is guided with the tuning vanes and bargeboards towards the undercut side pots to seal the floor of the car.
This vortex can be seen on the following picture. Be aware that the a actual vortex will be much bigger, we see just the core of it here.
By the way some smaller vortices are deliberately generated in front of the floor to increase downforce by their lower pressure. Actually they are used to fine tune the floor by moving its centre of pressure.
Notice the steps on the splitter or the saw toot styled bargeboards which Ferrari used to run.