Firstly, you underestimate the role of the Internet in Russia. 4/5 of the adult population of the country uses the Internet constantly. And they see here a huge amount of news from Western sources.
Secondly, you overestimate the role of censorship in Russia. We still have a lot of Western media outlets broadcasting directly. I have EuroNews, France 24, BBC World News and others on TV. And, more importantly, 99% of all modern culture in Russia is Western. Cinema, literature, music - all this comes from the West and shapes our attitude to the West.
Thirdly, the tension between the people of our countries is growing much more under the influence of the Western media and the Western Internet. Three years ago I came to the American forums in the hope of finding some kind of mutual understanding. "Educated" by Russian media and the Russian segment of the Internet, I was looking for an honest direct conversation. But during these three years of communication in American forums, I had a very strong anti-Western attitude. So the situation is reversed. While the Russian media are trying to soften relations, Western media are trying to destroy them. And this forum is a very vivid example