No, it will continue to work just fine. The restrictions are being added to Google Play Services, not Android itself. I and many others do not run closed source software like Google Play Services on our devices.
Clearly there is a single driving agenda, which Google and the government are largely in harmony on, to try to approach 100% real-identity-tying to every activity done online.
Where once, “online” meant generally greater anonymity than “IRL” activities, since most things could be signed up for with an arbitrary throwaway email address and no proof of identity. It is now or shortly will be the opposite.
[1] https://git.koszko.org/haketilo-packages/hacktcha/ [2] https://codeberg.org/JacobK/unfinished-site-fixes/src/branch...