Neither did South America but they were inspired by all of them when they formed their modern republics after the various revolutions, after kicking out the Spanish rulers in the 1800s the military generals had a choice to form democracies and they sought inspiration from Europe, just as America did a century earlier...
Almost every European country had a legacy of monarchy, Japan with their Empire, etc. There's a long history of centralized control in every culture. Why is China unique?
The problem is China went the authoritarian route, the party defines the culture, it's not a natural phenomenon of the people. It won't matter if there is a shift towards liberalism when people don't have a choice.
Not to mention Hong Kong and Taiwan aren't far from China's core culture yet they respect liberalism. Chiang-kai Shek could easily have won the war against Mao and it's entirely possible their culture would look a lot more like South Korea or Japan and less "Chinese".
People downplay the complete and total effectiveness of government controlled media and propaganda campaigns. This idea that Chinese culture is just different from the 'west' is exactly what is forced down the Chinese people's throats, it's the party line - not an original concept. The "chinese way" is what they constantly use to justify their repressive actions. While any time anything bad happens in the West they promote those acts widely in the media as examples of the flaws of the western worldview, while thoroughly suppressing their own flaws... so I'm highly suspicious when I hear this excuse.