I'm worried too but I doubt countries who voted against it will just lie down and turn over.
I'm sure local courts will fight this on the grounds of national privacy laws.
And just because the EU wishes this to be a thing doesn't mean it's happening too. The technological groundwork needs to be developed for this and I can imagine that some service will drag their feet at implementing that.
At least that's my unicorn utopia with rainbows I currently live in to bear this reality 🫠