Watch that graphic to see the evolution of the extent of "China" since the Zhou Dynasty in 1000 BC. It occupies a fraction of the current extent of China. So there were lots of wars, and lots of revolutions before modern Chinese borders were established.
I get that Chinese have had more cultural and language cohesion, but that's at least partially because certain dynasties and regions won over these other regions in large swaths and history is written by the winners.
Note that China was under a largely single and unified set of linguistic, cultural, and political organisation throughout the entire 3,000 year period you depict. The "modern" map of Europe has changed dramatically just in the past 30 years, let alone the past 100 - 200. Entire linguistic and cultural tribes have completely vanished, save for a few pitiful relic remains. Political continuity has been nil (Greece, Macedonia, Byzantine Empire, Rome, Moorish Spain, the Gauls, Britons, Celts, and Germanic tribes, the Rus? (Swedish invaders, BTW), Holy Roman and Austro-Hungarian Empires? Soviet Bloc? Independent Baltic and Balkan states? Ireland, under English subjugation since 1601, the north to this day. Poland as the pinball kid of Prussia, Russia, and Germany.
That's Europe.
Addenda: The extreme extents of the Chinese empire varied greatly. The bulk of the population, then as now, was in the eastern coastal region, largely the Yellow and Yangze river floodplains.
Oh, sure, I'm not arguing that Europe was less tumultuous than China. There were many, many schisms, and wars however. Had some of these civil wars or invasions from Mongolia, Japan, etc within China had gone a different way, they could have ended up as fractured as ancient Rome.
And I'm saying it's been a continuous curve, straight or not.
The language, culture, identity, philosophical and religious beliefs, government, urban centres, technologies, currency, writing systems, etc., have persisted in a largely unbroken continuum or chain. There are points at which one or the other makes some jump from one form to another, but there's never been a wholesale wipe of one system to another. Over a period of 4,000 years of recorded history and arguably going back even further.
The West has nothing comparable to offer. Not in Egypt, not in Mesopotamia, not in Rome, not in England, not in France, not in Germany, not in Scandinavia. Maybe in Persia or India. Vietnam may have an older continuous civilisation. Japan does not, though it comes close.
The opening sentence of an arbitrarily selected webpage on ancient China makes this case: "Ancient China produced what has become the oldest extant culture in the world."
To be clear: I'm not some defender of the present regime in China. I'm only casually aware of its general history, geography, and culture. But as I study it the vastness of the culture, in both time and space, has impressed the hell out of me. And it seems that this isn't as widly known or appreciated as it could be.
Watch that graphic to see the evolution of the extent of "China" since the Zhou Dynasty in 1000 BC. It occupies a fraction of the current extent of China. So there were lots of wars, and lots of revolutions before modern Chinese borders were established.
I get that Chinese have had more cultural and language cohesion, but that's at least partially because certain dynasties and regions won over these other regions in large swaths and history is written by the winners.