It's not the same, Razorbacks would still accept if somebody called em American.
It wouldn't be an insult to them to be named as part of the greater union.
Zoo implied that it is a disservice to call a Canadian KIA from WW1 a British soldier.. But in those days they very much were British.
WW1 was a catalyst for all kinds of national issues to manifest and change the individual states.
Russia and Germany got rid of their Kaizer, the Russians became communist, the Germans, well, they tried a bunch of things but eventually became Nazi's.
The Irish got their full independence.
Canada gained more autonomy then they already had before.
As did Australia , New Zealand, India took a bit longer, but the seedsbeen planted.
The Flemish till WW1 treated as peasants by the French speaking elite in Brussels formed the Flemish movment (now we outnumber the French speaking side, and the politicans would make you think the french part of the country is a bunch of unemployed strike happy union socialists )
This article explains it a lot more what WW1 did for Canada
https://www.theglobeandmail.com/news/national/a-changed-canada-emerged-from-the-first-world-war/article36985156/
But the point remains, in 14-18 , Canada was British, Canadian soldiers were British.
They were all part of the British Empire, for better or for ill.
It's not a disservice to be factual
I hope that blows over soon Tobra, stay safe