Look, take it elsewhere. Do I ask you for chapter and verse on anything you’ve written? No.
Take OTL USA. If the continent(s) were not called America, would Americans want to be called ‘Statesiders’/’Statists’ or ‘United Statesiders/Statists’. Plainly the latter if only as an encouragement of national unity. Will that satisfy you or do I have to create an etymology for you? I might remind you (a) it isn’t real and (b) I am drawing boxes, not creating a full timeline.
But if I were creating a timeline it is not impossible it might develop in a way you don’t like but which is not incoherent. I have already said that Wales outside Glamorgan and Monmouth would turn into solid GOP Dixie on the basis of it being rural with a dying radical streak. You didn’t like that either. Tough – it isn’t impossible.
As I said, if you don't like it, set up a British Presidency 1792-2012 thread. I am trying to work out a 19th C party system, but if you get in before me I shan't mind in the least.