Even if AMOC shuts off completely, Europe generally will be somewhat warmer in the winter, and cooler in the summer, than Canada.

I hope you're right, but research has recently suggested that the Little Ice Age was caused by the AMOC shutting down in the early 1400s.

The Little Ice Age was one of the coldest periods of the past 10,000 years, a period of cooling that was particularly pronounced in the North Atlantic region. This cold spell, whose precise timeline scholars debate, but which seems to have set in around 600 years ago, was responsible for crop failures, famines and pandemics throughout Europe, resulting in misery and death for millions.

...

But in the late 1300s, AMOC strengthened significantly [due to increased solar activity], which meant that far more warm water than usual was moving north, which in turn cause rapid arctic ice loss. Over the course of a few decades in the late 1300s and 1400s, vast amounts of ice were flushed out into the North Atlantic, which not only cooled the North Atlantic waters, but also diluted their saltiness, ultimately causing AMOC to collapse. It is this collapse that then triggered a substantial cooling.

If this research is correct, losing the AMOC again could cause a huge crisis for Europe.