As I said in my last response, RumpUK couldn't sensibly call itself 'the United Kingdom of Great Britain and Northern Ireland' for the reasons I gave. If it were to insist on retaining the words 'kingdom', and 'Britain', it would logically need to drop 'united' and 'great', replacing the latter with Southern'. This gives you...
The Kingdom of Southern Britain and Northern Ireland.
Likewise, as I understand the Queen will be retained as Head of State in an independent Scotland, that could equally be called...
The Kingdom of Northern Britain.
As TCL suggests, dual nationality is something one cannot easily be deprived of if one qualifies for it. Right now, if I chose to approach the South African embassy, they would be obliged to give me South African nationality because of my family circumstances. In the same way, as long as Scotland remains the northerly half of this island, 'Britain', I can see no way in which I can have my 'British' passport legally taken away. I, therefore, repeat that "I am and will remain a patriotic Brit", however anyone else decides to MISinterpret these words.
And that's about enough, I think, so "Thank you and good night!"