That might be the case, I've seen conditions that say something like by entering the event you are concenting to be filmed ect. This was for a rock concert in the uk at sheffield arena. This was posted at every entrance into the place. I would imagine it would be part of the terms and conditions of tickets for the Hungarian GP.
Incidentally a lot of places require you to have public liability cover of several million as a photographer or you will not get access. which kind of makes sense even if most of the time its never needed. (was a case of a photographer stepping back knocked into an old lady who went over and cracked her skull freak accident but it was worth his premium) Track side photography has even higher insurance requirements.
This new law in Hungary is ripe for abuse, never again can compromising pictures of politicians and celebrities be taken.
On the otherhand you could argue that there are some times it would be better for people involved if there was no picture. On thursday i was on my way home and came upon a car on its roof that had just crashed, I stopped and helped unfortunately one lad died later at the scene. There are photo's of the car on several news websites and it feels quite raw seeing it there just for me and it must be worse for the families of the kids that were in that crash. Feels a lot different when you crawled in through the window and found it impossible to do anything to help the kid trapped inside. does there need to be a picture?