True, same is true for Quebec if you check the 1905 map, however what they would get upon separation would be somewhat similar to the yellow portion here, though I think some of the northern part of that yellow portion they lose as well.
https://en.wikipedia.org/wiki/Partition_of_Quebec
My point being, there's a strong likelyhood they would not walk away with the whole province.

Yeah, not sure they are aware. They tried to bring US CocaCola to Canada, everyone hated it. So they rolled it back and called it CocaCola "Classic"