Actually, the opposite might be true. The global north is where there is the biggest difference in temperature from the global peak, and that creates powerful energy gradients. You have a mix of hot air from the equator meeting cold air from the poles, and that's what produces a lot of dramatic atmospheric effects. On top of that, the plant and animal life in the global north is not adapted to heat either. So, on top of massive disasters like floods, hurricanes, and droughts, there's also a possibility of a complete ecosystem collapse. We can already see signs of this happening with massive fires across the US and Canada every year, along with many species of birds and insects starting to disappear.

Meanwhile, places where temperature is already close to the global maximum will not see these kinds of dramatic changes. There will still be problems, but they might end up being more manageable in the end.