Wait since when is there a right-wing dictatorship in China???
People vary with their interpretation of the exact dates, but in general, most would agree it was prior to your birth, and I don't say that in a snarky ageist way - just that you've known nothing but capitalist China.
Sure the Chinese Communist Party isn't really communist at all anymore, I don't know why this myth persists, but it's not true. The PRC is still in many ways as "communist" as ever. The state still 100% controls:the media, the economy, most major industries, all mining, the internet (well, they try), 98% of banking and you know, all the land. It's a single party state, and that party call itself Communist. I'm not saying it is communist, I'm just saying there are still many many aspects of it that point in that direction.
It's clearly not "right wing" though, that's just silly.
The problem with left and right especially if we define out from the national context in different democratic states are that they become rather meaningless in autocratic states. Autocratic states will always focus on centralise power, create as strong a monopoly of force as possible and secure its own survival (through use of nationalism/patroitism, reactionarism, religion, clientism, modernism or whatever its find necessary to secure its own survival).