> My scenario doesn't abolish the United Kingdom, it abolishes it as a country

But surely a kingdom has to have a defined territory over which the monarch is sovereign?

Of course there is precedent for having a government in exile (which claims a territory it has no control over), and the Sovereign Military Order of Malta (which doesn't claim any territory at all), but I think if you want the "UK" to refer to an institution, then it should stand for "the United Kingship".