I wouldn't take China as necessarily embodying left wing economics (there's obviously a lot of capitalism going on over there and their society doesn't seem all that equal).
There isn't any obvious correlation between left wing economics and social progressiveness other than the coincidental alliance that has occurred in the US. Authoritarian communist regimes were, obviously, authoritarian.
And finally, "sex positivity" and dumb sitcom sexual jokes aren't really the same thing. They often have "man stupidly objectifies woman," "having same-gender parents is inherently funny," "man is an idiot because boobs," or if you go back to like the 80's, "man has poor understanding of consent" as a punchline. These aren't progressive ideas.
So in conclusion, no at every level.