The dubious quick kill pt1 & 2

[Timelord]

Britain is an abbreviation of Britannia, which was the Roman term for the Island. The union of Scotland, Ireland & Wales with England - over time - formed the United Kingdom. One kingdom formed from individual nations.

The term American comes from the continent of the Americas. So being American includes Mexicans, Puertoricans, Bolivians, Colombians, etc etc (& possibly Canadians as a land border is only a modern theoretical construct). The United states is formed from geographically localized within the vast continent - individual independent regions to form a union - similar process to the UK and with just as much bloodshed but compressed over a shorter more technologically expediated time frame - and not as a monarchy kingdom. An elected head of state instead of hereditary.

Not recognising the well known separate identities of Scots, Welsh, Irish & English within the United kingdom has parallels with the inability to recognise any distinction between North & South Americans within the continent of the Americas. (plus all the outlying islands)

I think this view can only be in a small narrow focused minority who possibly don't see much television.