>So, while it doesn't claim to be democratic, it is saying that on the spectrum it is closer to being democratic by at least trying to serve the interests of the population at large rather than, say, "corporations".
What I'm trying to point out here that a democracy is going to try to serve, or rather balance the interests of everyone involved. And that means the corporations do have a seat on the table. Along with HOAs, Investors, Religious Groups, Farmers, Foreign lobbysits, Internet Advocates, Feminists, Minority Advocates, White Collar Workers, Blue Collar Workers etc. There isn't really something called the "interests of the population at large" here, populations in reality are heavily heterogenous with often conflicting interests.
If we talk about the lack of safety or train networks, etc, it's not because of a lack of competence, it's because the sum of vested interests of not having that exceeds the sum of interests that want it, and neither side is willing to compromise that nothing happens. Fustrating, but it's not "idiocracy" as OP says, that is what it means to cooperate in reality. Getting nothing done is very much what it means to be a democracy. If you choose not do, you can end up like Somalia or Syria in total chaos.
When it comes to the CCP, the nuanced but important distinction here is that the CCP is only seat on the table, and they explicitly prevent others from sitting. Their pejorative objective is power for it's own sake, and the action of "caring for the citizens" is more akin to a owner caring for it's pets in accordance to it's own particular perspective than everyone having a seat on the table with metaphorical guns pointed at another. Those other interest groups I mentioned, they cannot coerce the CCP in the same way that they can in USA.
After all, the State of China dosen't have a official military, the PLA is explicitly the armed wing of the CCP that declares loyalty to the party first and foremost. That's a key distinction here from the US Military that serves the Constitution, not the Democrats or Republicans.
Of course, there is inter-party heterogenity, and also the fact that acting like a totalitarian dictator dosen't work well economically, so of course the CCP has to concede a bit. But claiming you are "more democratic" because aren't the most extreme version of authoritiariaism and far less pluralistic than most liberal democracies then it's a awfully banal statement, and more of a propaganda term really with retrospect to OP.