That survey acknowledges that different countries see democracy differently, both in what it is and what the purpose of democracy is. The EU, for example, says it's about "protecting individual rights and freedoms," while China says it's about "improving living standards and well-being."
The kicker is that they specifically ask questions surrounding how well a country abides by liberal, capitalist democracy while not asking how well a country abides by socialist democracy! As you admit, they focus on concepts like "separation of powers," or "freedom of the private press," or "political pluralism," as well as "peaceful transition of power." This fundamentally is meant to disqualify socialist concepts of democracy, focused on cooperation, cohesion, social unity, rule by the common people, and limiting of the powers of the wealthy over society.
Ultimately, both polls are accurate. What's dishonest is the EU poll framing democracy purely in a liberal manner. It isn't a survey about democracy, it's a survey about how well a country abides by Eurocentric, liberal democracy. This isn't an example of polls conflicting each other, when polled in a manner that reflects how well society represents the interests of the common person, the poll I cited is a much better reflection.
You may need to work on your media literacy.