The EU was furious when the large internet firms chose to have a reduced EU version and informed their customers the EU had forced them to remove stuff.
So they will do their very best to make it affect the global internet.
Given that all major powers want that, it'll happen. Maybe not right now, but it's coming. It would have happened a long time ago if it wasn't for the stroke of luck that these companies are in the US and the US government is protecting them (for now succesfully).