Yes, the term "British" is only reserved for successfull Scots and Welsh people.
For instance, if a Scottish Olympian won the 1500 metre race, the commentators would be screaming:
"THE YOUNG LAD FROM BRITAIN, BRINGS HOME THE GOLD, THEY'LL BE CELEBRATING IN THE STREETS TONIGHT!"
however, if he was to fall, and fail to finish the race, it would be:
"oh the poor Scottish lad, his dreams smashed, there'll be a lot of dissapointed fans in Scotland tonight."
of course, if an ENGLISH Olympian where to win, it's a case of "United What?".
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Dad was flammable