Citizenship has been diluted in recent decades, but it's not just pretense. And while the US has a rather puzzling loophole around birth and citizenship, that doesn't apply AFAIK in the EU: a child born to foreign parents will have to apply for citizenship just like anyone else. Asylum seekers likewise.

Dual citizenship's typically only allowed in the EU when the other country is also an EU country. Some countries do not even allow that. There's even a citizenship test which is administrated.