In China, they still of course describe it in broad strokes as political power belonging to the people. But when one presses deeper into it, it becomes apparent that unlike in Western liberal democracies where people can exercise that power through elections, Chinese people can't. So they instead say things like, "Well, we have people's democracy here, it works differently".

Here's a video I found which was on top of the Baidu Baike (百度百科) article on 民主: https://baike.baidu.com/video?collectionId=0&from=lemma&fromIndex=0&fromModule=lemma_top&fromPage=lemmaTop&isSensitive=0&lemmaId=291141&nid=15108339075742377209

It discusses the differences between Western electoral democracy and Chinese democracy, and the perceived shortcomings of the former.

I found his explanation of democracy in China to be reflective of fairly typical views of how people think China is a democratic country. And he uses the term 人民民主 ("people's democracy", to any non-Chinese reading this) to describe it. His examples are a farmer suggesting a welfare policy that is adopted by the Party and a food delivery driver calling the 12345 complaint hotline to get signposts replaced. To a Western viewer these are nonsensical examples of democracy; they're basic examples of the government responding to people's demands for public services. But apparently because Chinese democracy works this way, that makes it the "most effective, most genuine, most functional" form of "socialist democracy".