A market exists where a market exists. Any moral or ideological properties that might make a market "pure" or "impure" are just attributed to it by ideologues.

The properties are what make it a market, a chimpanzee, or a turnip.

“The beginning of wisdom is to call things by their proper name.” ― Confucius

You seem to be confusing Google with a Friendly singleton. Of course, once you get into Singletons, it's easier to have a democratic government function as one, anyway.

Google and government have different powers and incentives.