I think you overestimate the education system. Most curriculum barely touches on China and India at all, at least in the US. I'd be surprised if your average American could name any Chinese dynasty (they
miiiiight be able to name an individual emperor or two if they're either well-educated or exposed to enough wuxia media), and I'd be even more surprised if they could name any Indian leader at all other than Gandhi (who wasn't an Indian leader

). In my observation American education focuses on the Middle East for the bare minimum of time until they can move over to Greece and Rome. Then they stay in Europe until America comes on the scene, at which point who cares about the rest of the world?

India and China, meanwhile, are lucky to get footnotes; Japan gets a little more attention because we fought a war against them and because Americans are obsessed with samurai. All that being said, I think games are a great tool to educate people.
I don't want to stray off topic but this is pretty much what I got in my advanced World History class in high school.
The farthest we got through China was the Han and that was after we briefly talked about the Harappans, or Indus River Valley Civilization, but not before the Near East and Egypt.
After Greece and Rome was when we talked about all the major world religions: Christianity in the Roman Empire, Islam and the Arab world, and back to India to talk about Hinduism and caste systems, and the founding of Buddhism.
After learning about all the major religions of the world, the attention turned to the Europe for the rest of the class starting in the Middle Ages only talking about the Aztecs, Inca and other Native Americans when the Europeans came over and Japan was only mentioned during WWII.
I didn't really learn anything about Korea or much of Medieval/Early Modern Japan until college and that's only when I took a class over East Asia to 1800.
If the base/release version of CIV 7 come with Han and Maurya (specially if they come with previous leaders like Chandragupta) player would not take more than two minutes to realize who are supposed to be these civilizations. Or would people stop buying the new CIV game that also include Rome, Greece, England, America, Russia, Germany, etc. Just because they are so lazy to read who are these Han and Maurya in the internet?
People can learn who is Cree or Mapuche but cant understand that two modern countries the size and population of Western Europe and older histories used to be empires with different ethnics, religious, language and focus.
The United Kingdom can have England and Scotland but modern India or China cant not have separated entities?
All of that does relate to the fact that many people, at least on YouTube, were irked when it came to the DLC when Nubia and Khmer announced, they weren't happy with these "insignificant" civs in the game. The only reason they probably were insignificant is that nobody had ever heard of them when in reality Nubia did conquer Egypt at one point and established their own dynasty their and the Khmer were the first major empire on mainland SE Asia and apparently the city of Angkor Wat had one of the largest populations in the world.
I think the same criticisms would happen if they decided to say split up China definitely, How many people would know if they called a civ the "Han" that it would correlate to one of the golden ages of China?
That's one of the reasons actually they decided to go with the name Indonesia over Majapahit in Civ 5. When it was suggested, I'm not sure any of the devs knew what was being talked about so they changed the name to be consumer friendly. I actually never knew anything about the Majapahit Empire, but now I do thanks to Civ.
I'm not saying that's not a reason to do it, but it's something they probably the devs do consider. The same can be said about splitting Russia into Soviet Russia and Tsarist Russia and Germany into HRE and Prussia, and I don't expect that either.
And there's never been a Civ called the United Kingdom. It's always purposefully called England, even if some of the attributes are British, so they could have gotten Scotland in.