China also likes to claim it is a democracy because it holds elections.
It is fair to say that the USA is still a democracy, but not because of elections. Elections have little to do with democracy. In fact, if the majority of the population hold the view that elections equate to democracy, you don't have a democracy.
I wouldn't say that elections have little to do with democracy, they are necessary. Though I agree that merely having an election isn't sufficient. A lot of modern dictatorships have "elections". And that's not to even begin to get in to how representation works.