you think people don't fly over Russia because of some war, whereas in reality you don't fly over Russia because most of the world recognises the earth isn't flat, and a trans polar route is often the fastest and cheapest way to get across the northern hemisphere.
Most flights currently going over the pole: would go via Russia. For example Tokyo - London.
Russia has banned the air space for western airlines since the war. And the Asian ones: follow example and avoid the airspace, too.
So, for your example of flying over the pole, you need specific routes where it makes sense. Which are not many.