I agree, somewhat, about using vernacular, but that misses the point.
The USSR was no-more a communism because they said so than they'd have been a capitalism by saying so... You are as you do, not as you wish to be seen doing.
You elect district leaders, who elect state leaders and the congress, and they elect the president and prime minister.
Technically, that's roughly the same system we have here with the electoral congress and faithless electors. The difference is that in the US, faithless electors are much less common than in China.
But you can look here and see that there is a history of faithless electors in the US too: https://en.wikipedia.org/wiki/Faithless_elector#List_of_fait...
China's system is actually not so different from ours was 150 years ago, so they're not that far off all-told. Or, actually, in a sense even more recently when the congress decided between Bush and Gore.
The communist party is just another dynasty in the long succession of dynasties. That they have a specific brand of ideology should not fool you - the current china is more of a pragmatic autocracy than an ideological communist state.
Has there ever been a nominally communist state that wasn't a pragmatic autocracy? That seems to be the main criticism of communism... that it's impossible without immoral coercion of some sort.