Americans definitely don’t care as much about face as the Chinese do, so it really isn’t that big of a deal. China’s economy was eventually going to stem its emigration, and a lot of rich Chinese send their kids to school the states now with the expectation that they will come back, not as a hedge against the Chinese internal problems.
China could do better with immigration. Like, if you think American immigration is bad, China is worse, permanent residency wasn’t even a thing for non-Chinese until a few years ago, and is still quite rare.