Of course, the goal of propaganda is to create a narrative for the population in both cases. However, the nature of propaganda is different. I would even go as far as to argue that it stems from respective ideologies that are prevalent in the west and Russia. The idealist mindset places the realm of thought at the forefront, this leads to the notion that you can just will reality into existence. I think therefore I am. Meanwhile, the mindset in Russia has been shaped by materialism over many decades and people see material reality as having primacy.

I agree that it's easier for Russia to simply acknowledge reality because it aligns closer with Russian point of view and objectives. However, the fact that Russia finds itself in this position is itself an outcome of materialist thought.