No. It'll stay as it has been since 1707. You never know. Should the whinging Scots 'win' independence they might return to Great Britain one day (God forbid).
Douglas: The Clearances. Amazing. I will now contact the French Embassy to gain my rightful inheritance taken away from my forbears by William the Conqueror.
It will stay the same, but we'll keep discussing it for decades, a bit like how Aus and NZ keep discussing whether they should keep the union Jack on their flags despite being completely independent countries.