Prediction:
This ban will be used to force hardware and OS-level Digital ID down our throats as a "safety measure" to ensure people are "Citizens" before accessing AI technology.
Whatever last vestiges of privacy we still enjoy will be taken from us with this as the excuse.
If it were to remain export controlled, it would probably not be accessible direct to consumers. Other export controlled technologies (aerospace, nuclear propulsion) are only worked with by companies that spend a lot of time and money to prove that there are only US citizens working there.
Welcome to the UK, enjoy your stay