The Puli can see quite well even with those cords hanging over the eyes. In a way, it’s like looking through vertical window blinds, and since the cords move as the Puli does, the view is even better. An old Hungarian saying is “The Puli, through his hair, sees better than you.”
Still, in both Obedience and Agility, it is allowed to tie up the hair out of the eyes (in a bunch with an elastic band). For Obedience, this allows the handler to see where the Puli is looking before giving a command. For Agility, the Puli’s peripheral vision is improved a bit, and this is worth a lot during a fast run.