There's no evidence that these things make anyone more productive, in fact the opposite, empirical research suggests users are less efficient while thinking they're more efficient. You're invoking "AI" the same way the blockchain people did before they all finally died out. "You need to put the government on the blockchain bro, you're gonna lose out to the future bro", turns out you don't
But that's not really even relevant to the debate. Insofar as software has made the world more efficient, it doesn't matter where it's written. That's the point of open source software, there's no tacit knowledge. When a country loses its nuclear engineering capacity that's dangerous because it takes a long time to rebuild. The only reason the Chinese are already competitive on LLMs but haven't managed to make a state-of-the-art jet engine is because the latter, unlike software, is difficult to copy and you don't need to worry about something you can copy.