Sure, but this is also true for the city you are in, the neighborhood and the street.
I'm not historian but I suppose throughout history the space that we call home became bigger and bigger as time went by. Perhaps first it was a cave, at some point it was a village, then it was a city and eventually it was a country.
I guess what I mean is that eventually countries will go away. And calling them "old-school" was assuming we were there yet. But maybe we are not yet. But surely you would agree one day this day will come?
I don't see that happening ever. Not unless the human condition changes significantly. I currently see it more likely that we will end up with more countries, not less countries.
If countries "go away", what do you suggest they would be replaced by?
50 years ago it was difficult to be a city-state, Monaco couldn't have it's own currency, army , foreign embassies.
Now it would be much easier for eg. Scotland/ Bavaria/ Flemish-Belgium to become a country again - they would have a euroepean central bank/currency/etc but could handle everything else locally instead of in a capital city 100mi away that is only the same 'country' because of a battle 500years ago.
The EU isn't a country though, and it will never be one; different cultures have different values and often don't want to live under the same set of laws. Personally, I think this is a good thing. If you're oppressed under one countries set of laws at least you always have the option of leaving.