That's like using Hitler as an excuse to make Germany a bunch of warmongerers.
That's a completely different comparison, as the Germans
were warmongerers.
Let's not forget that modern Germany was built on the ruins of the Prussian kingdom, a kingdom so obsessed with warfare that the Austrians described their military as a machine. The German state itself was formed in 1871, after the Prussians (and the Northern German Union) waged war with the Austrians and the Danish, and then convinced the Southern German states to invade France, allowing Bismarck to use this common enemy as an excuse to unite all Germans into one Reich. Let's not forget the two world wars (which, while gruesome, were somewhat understandable: Germany had only just sprung into existance and extreme nationalism was needed to instill a sense of "Germanness" into the population, something an ancient country like France did not need) after that, which caused Germany to split up into two seperate nations.
As a matter of fact, Germany has always known war and has only been "stable" since the 90s, and even to this very day they own the largest and, debatably, the most powerful army in Europe (though some say that honour goes to France) and is the third largest weapon producing nation in the world (right after America and Russia). Making Germans warmongers in Civ V is more than sensible from a historical perspective, and not only because a little man with a moustache was in power during the 30's and early 40's.
China's UA might cast them as a warmonger, but for gameplay it's sensible. They had the book on war.
Yes, but Sun Tzu was only one man (assuming he actually existed and isn't merely a legend, as some historians debate), not enough to influence the
entire culture of one of the oldest nations in the world. Greece and France are led by the two greatest generals in human history, yet their special abilities focus on diplomacy and culture respectively, rather than warfare. Culture for France because France has always been the heart of European culture, and all European courts wanted to immitate the French royal family (even as far as the court of the Russian Tsar), and diplomacy for Greece because..... I'll be completely honest: I have no idea.
And then you have to consider that China isn't even led by Sun Tzu (or another warmonger like Kublai Khan who was, despite being Mongolian, a very influental Chinese emperor), but Wu Zetian who was most likely famous for other things than merely warfare (I'm not too adept at non-European history so somebody will have to fill me in on this).