The only problem I see in China's gameplay is how the dynamic names appear. Basically, you need to control the whole China to the dynastic names show up, which is very ahistorical, since some dynasties, like Zhou, have control only of what is the core in the game. Another example is the Song dynasty, which the name stays even when they reborn after Mongol's conquest.
I don't think this is true. From my experience, you need to have at least four cities to get the dynastic names. That's a slight stretch for Zhou but not wildly unrealistic (and there's a good chance you will found 4 cities before reaching the Classical Era) and completely realistic for anything later. If you control fewer than 4 cities, you don't control anything close to all of China, and it's fair that you'd be considered just one of many competing states instead of a full-fledged dynasty.
The names are triggered by technology discoveries/eras. The below might have some inaccuracies but I think is roughly correct. So if China respawns post-Mongols and still isn't in the Renaissance but has discovered Gunpowder, it will be called Song, which I think is okay.
(All names require controlling 4 or more cities)
Zhou: Ancient Era
Qin: Classical Era, before 1 AD
Han: Classical Era, after 1 AD (the timing here seems a bit off to me and should maybe be pushed earlier)
Sui: Medieval Era, before 600 AD
Tang: Medieval Era, after 600 AD
Song: after discovering Gunpowder
Great Ming: Renaissance Era
Great Qing: Industrial Era (I think? This might be triggered by a year cut-off instead)
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