Zeuhl, Yes, it does, but the problem with our nationalities originally started with the 'Act of Union', James 1st, compunded by the last Goverment who didn't recognise England as a country.
If you look at the map of Europe, from Europes perspective, (of which we are/aren't a member), there is no England, Scotland, Wales or N.Ireland, just The United Kingdom.
So in the end, If you want to be a national of you own home country, vote to leave Europe.
But as far as I am concerned, regardless of what the Goverment tells me, I am English.