Anonymous as in "Here's your ID, comrade"
I wouldn't trust anybody, least of all a government run by corporatists, to have any interest in actually letting the plebes be really anonymous.
I also don't trust that the so-called anonymizing algorithms (damn, that's hard to type) work at all. Perhaps if all your demographic info was passed through the well-known NSA elliptical-curve encryption technique...
They've already proven that just a few random bits of non-specific information about you are enough to identify you in 95% of the cases. If those other poor 5% get shuttled off to some black hole, oh well - that's the price for true democracy.