Not really. The forging pan-European nation composed of many nationalities is a thing in all meaningful contexts. European civilization, European economy, European products, European voters etc.

Not really, no. Europe is neither a sovereign state nor a single political entity. It's a continent composed of many individual nations with a versatile history.

I mean sure, your example shows that the virtue of being "European" represents a certain demographic and a sovereign territory. Again, it's a continent, so what?