World War 2 gave China and Soviet Russia a new sense of privacy?
WW2 made the US worse as a place in most regards, not better. That's what caused the US to build its military industrial complex, to install a massive standing global military, to primarily guard against the Europeans going on rampage again for the nth time (which was guaranteed to happen with the USSR very eager to conquer even more of Europe in the days post WW2).
From WW2 the US got a dramatically expanded (and more intrusive) Federal Government, surveillence state and war machine, encouraged by Hoover's aggressive domestic actions and all the newly minted three letter agencies (CIA 1947, NSA 1952, NRO 1960, ATF 1972, DEA 1973).
A third world war would make the governments even more paranoid, scared, and intrusive, not less.
You wouldn't want to see what the involved governments would do to their people as a war involving the US, Russia, China, and various countries in Europe and Asia broke out. The stakes would be as high as they could possibly be, given the nuclear arsenals in existence now. Privacy would rapidly sink toward zero, and that conflict would be an extraodinary argument in favor of zero privacy (according to the governments): for no mistakes can be tolerated, the dangers are too high, no privacy can be afforded (they would claim).
You're right, though, that it's probably not worth getting our hopes up about what sort of societies would exist after WW4 (based on that numbering system).
Exactly, and the consequences to the average person would be so severe that they would begin valuing privacy again. A lot of people in WW2 quickly learned that not having information about their religious or political affiliation public was a matter of life or death.