Good examples. AirBnB operated fine in China even has a China BU last time I checked. Uber sold it's operation in China to local competitors as they were losing any way.
They will choose the winners and losers, but they will do so by balancing their own metrics, which has China's economic power as no.1 priority.
Only know is Airbnb doing more OK, after moving servers to china, making local joint ventures, changing their name to a chinese one etc. etc.
AirBnB moved server to China because their website would be terribly slow if not, they need local joint ventures or otherwise they would have little idea in how to navigate in Chinese market. Of course they need a Chinese name, how else would you expect users to know what "Airbnb" is? Nobody would remember. They can change their name to a series of numbers and that would still work better than "Airbnb"