They can do it now, they just have to harass you first.
There are many different legal definitions of "privacy", one of them is "the right to be left alone", from that viewpoint widespread harassment might be worse than accumulating dossiers that are used tactfully.
The Soviet Union tried towards the end, but having 50 people assigned to track and harass somebody like Andrei Sakharov is no way to run a civilization, never mind promote full employment. If a society is accumulating dossiers that it can't take real action on that's different from having that system coupled to a harassment machine which is orders of magnitude more expensive than dossier building.
I barely see any popups, and when they do make it through, they're few and rare. And I make sure to add the selector to my custom list.
Go away banners. They are annoying.