I guess it started with Cold War, and Chomsky is just part of the generation that distrusted goverment due to internal issues (racism, womans laws, etc), but later started beliving that information about USSR are also fake.
What is weird from my perspective is shifting this perspective to modern Russia. When USSR tried to push pro-feminist, pro-international propaganga against USA, current Russia and pro-Russia movements are not hiding their disgust with LGBT+, abortion, multiculturalism and such. Which looks like minorities in this countries should be sacrificed on altar of anti-USA sentiment.