This was precisely what the original Patriots rebelled against. Of course, they didn't have anything positive to say about "democracy", either.
Maybe I’m being presumptuous here, but I would speculate that men like George Washington and James Madison would have preferred living as British subjects to living in a country where their own hired help could vote for the leadership.
"Government-managed censorship" was not listed in the multitude reasons in the Declaration of Independence as to why the colonists rebelled. You'll find plenty regarding arbitrary attitudes and actions with regards to legislatures, the quartering of troops, taxation, and so forth: but not a whit about free speech or written media.
Given that many of these same Patriots were the ones who passed and enacted the Sedition Act of 1798 — which criminalized speech deemed "false or malicious" about the government (mostly employed by the Federalists against the Democratic-Republicans) — I don't they truly cared about government-managed censorship in principle.
(Note that it was only thanks to public outcry that the next Congress repealed the Sedition Act after 1800, as it was largely credited with propelling Thomas Jefferson — who opposed the Federalists — to the Presidency.)