The Big [Censored] Theory

I'm not sure what aspects of the current Chinese government/communist party would be called "left". For instance, they don't seem especially interested in prioritizing any kind of equality of distribution of resources or power (I'm not sure if they even pretend they are, at least in a way that even any 'true believers' believe? I'd be curious for a read from someone in China though); or with providing any real level of 'social safety net'. I think they do both of these things actually less than the USA does, at present. I think any theory that tries to mostly put things into a dimension of "left" and "right" which calls the current Chinese regime or party "left" is probably not a great theory.

> what aspects of the current Chinese government/communist party would be called "left"

That would be the end-state of what inevitably happens when you adopt leftist policies.

That's an opinion and a boring argument, but I don't think it has much to do with "horseshoe theory". I think that read (that adopting "leftist policies" (like... social security? immigration liberalization? not sure what we're talking about) invariably(!) leads to a result that is not legible as 'left' at all but for its history) is probably incompatible with "horseshoe theory".