I'm actually not sure what that first paragraph is about. Schmidt is not a China hawk. He just wants America to be #1. I see nothing wrong with that.
The reality is that America has too many of its smartest people work in wasteful fields like lawyers, bankers and political think tanks. Not enough entering into high tech fields. That's why it continuously have to import high tech professionals from other countries. There is certain level of efficiency in Chinese society that's not anywhere else. This youtube video is kind of a good example of that.
There is certain level of drive in the Chinese society that's hard to explain to outsiders. There is not a bunch of bureaucracy or culture war or indecision going on. Just make the decision and go for it. That's what allowed China to do so well in AI, bio tech, EVs, clean energy and probably semi conductor industries. I don't see how any other country can compete with that. Things really changed very fast even in the last 10 years. So one can only imagine where they will be 10 years from now.
What will happen when Western countries realize China dominates auto industry, clean energy industry, AI and fully caught up in semi conductor and bio tech? Current Western society is not setup with the same drive/urgency to accelerate technology at the same pace.