On the other hand, Britain itself was already fairly democratic by 1776, and the thirteen colonies had their own representative government institutions. The point of complaint was that the British were simply ignoring those institutions and flagrantly violating the traditional rights that Englishmen were entitled to. And a lot of the British were sympathetic to this viewpoint so there wasn’t the political capital to crack down on the rebellion as harshly as Britain would do in various other colonies at other points in time.
And aside from Lafayette, the French monarchy—the same absolute monarchy the Revolution sought to overthrow—was the regime that supported American independence, mostly out of “enemy of my enemy is my friend” considerations.
The more interesting one is how often a democracy can survive against democratic superpower wishes. I.e, during the cold war era, the US helped taking down more democratic governments than the USSR itself. That is a bit of ironic remark. People tend to forget that the US didn't like democracies outside its sphere of influence in the last century.
I am sure this legacy gets blind eye when people usually talk about democracy and why many people doesn't like it. The scars are still alive til this day (Iran is the prime example here).
Are you suggesting that the CIA was worried about democracy in Iran so they ousted him to give the absolute power to the king?
It turns out that Iranians have agency of their own and don’t just do whatever the CIA tells them to do. In fact the role of the CIA in the 1953 coup has been deliberately overstated by multiple sides, including the CIA itself: https://web.archive.org/web/20150603235034/https://www.forei...
But even if you still want to blame the CIA, they still needed enough supporters inside of Iran who were angry at Mossadegh, and one of the reasons they were angry at Mossadegh is because he had turned himself into a dictator.
Edit: I replied before you edit your comment
> The CIA and US media propaganda spread false reports about the situation then and still to this day. i.e this article you attached is a pure piece of western propaganda.
That claim is completely inconsistent with the CIA and US government repeatedly and publicly claiming responsibility/taking credit for the coup.
I'm not sure that you could say that France was a democracy in the late 18th century (1770's, 1780's) - the critical time for the creation of the US and its form of government.
The key problem in setting up a democracy is that people are, on average, pretty dense. Doing things by vote doesn't cause stupid people to make good decisions. There is a real cultural element where the people involved have to be strongly against solving domestic problems with force, for evolution over revolution and also big believers in general liberty (otherwise you just get two factions fighting to use the big stick of government against the other).