No. They're not. And even if they were, I have bad news for you. There's a lot of French shit in England, English, and the United States too.
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https://www.exchangerates.org.uk/ima...n-dollar-2.jpg
That's not Napoleon on the Canadian monopoly money.
https://cdn.shopify.com/s/files/1/00...g?v=1542752449
And they didn't concoct this delicious beverage for Inspector Clouseau.
They are not subjects to anyone. They are an independent country, and have been for 160 years. Like all the other 53 independent countries that are part of the Commonwealth of Nations, which is what it has been called for the last 80 years or so.