Unlikely in America or China. This is not a game either can singularly control, and locking down the R&D means conceding momentum to the party that doesn't. Which means use restrictions will be contained to countries satisfied with playing second fiddle.
Instead, I suspect we'll see momentum towards running software on publisher-controlled servers so the source code can be secured through obscurity. It isn't perfect. But it might be good enough to get us through this transition.
I don't. I'm not saying American politics isn't capable of doing it. But I don't see us being stupid enough to try locking ourselves out of a technology that everyone else has access to.
Ironically, this–a nascent industry and budding industrial cluster–is the textbook case for deploying tariffs. America tariffs American use of Chinese models and pays that back as a tax credit to American developers.