I've had a trade deficit with supermarkets my whole life. Not once has any one of them bought anything from me, yet I keep buying and buying...

How does that justify Canada openly lying?

Openly lying about one's position is a typical negotiating strategy available to parties and used by both parties in the Canada-USA trade negotiations. It doesn't need to be justified. My issue is the American threats of violent annexation. That is more indicative of a shakedown.

What is the lie?