I'm not sure we know of Struensee's motivations, but we can see that he advocated for and temporarily obtained some outcomes that can be seen as almost universally good for the people.
Regardless, maybe one takeaway can be, just because you have given your life towards something good for others, don't expect to be thanked.
The thing about Struensee is that he went way too far. The fact that he never spoke any Danish, speaking only German, did not make him a favourite among the populace. Additionally, to help his government reforms, he would often dismiss entire departments (without pension and compensation, no less!) with people of his own likening.
The fact that a German was running Denmark was a scandal of the highest order. And with the free press laws granted, they went out and wrote anti-Struensee pamphlets.
Just because you give them some favours, doesn't mean they will look the other way at your other less popular actions.
So, was the criticism for giving them freedom of the press? Or for having the kid with the queen? Or was it for using his position as a doctor to put himself in political power in the first place?
Nobody I know hates his work, but nobody takes to him quite the way I have. Royal Physician is fairly conventional in structure and tone, but Enquist's more personal work -- the work that feels like it comes from his deep interior life, like Downfall, and Captain Nemo's Library -- seem even harder for a lot of people to get into.
They didn't realize this would drive down startup costs of presses by creating more press techniques and technicians looking to acquire new customers. With Church backing, the bar-to-entry for spreading information dropped until anyone could spread information, including anti-Church factions such as the Protestants. This did not end up well for the Church.
The same is true for America, their obsession with spreading democracy, and the transistor AKA the American Printing Press.
Once information propagation becomes cheap, noise floods everything, and trolling is the only effective way to create lasting context.