Take two countries. One with open access to information in the way you described and another country where internet is not allowed. Which one do you think will be more democratic?
(hint: there already exist examples like such)
Without information, there is no way a voter may know which person to vote for and whether to believe in them at all and you are easily susceptible towards manipulation.
It will become more clear when you try to answer this hypothetical: if your objective were to bring in more democracy in North Korea, would you allow the global internet to proliferate if you could? According to your theory, it would just make it worse in general.
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