If we're talking about the stories, Conan was a miserable king. He hated the corruption of civilization.Well, because you have the protagonist who overturns the bad guys and ushers in a period of peace and prosperity?
Peasants barely eking out a marginal existence? Where do you find that in Conan? Conan is filled with peasants getting along perfectly fine in towns and farms and mostly living out their lives normally. There's no blasted earth, no famine, wars are generally local no large diseases. What dystopia?
You had the dead empires of Stygia. The barbaric
Picts.
I don't know if what you're reading was de Camp's Conan or something, but Howard's was exceptionally bleak - a world perpetually spiralling to darkness.