In the case of a hot war involving hundreds of thousands of troops and the 4th vs 7th largest militaries, maybe free access to papers isn't the most pressing issue.
Keeping as much communications channels open is of severe strategic interest. Transparency is a weapon of democracy. In the age of information media images can help in a war and cutting off any lines would only solidify the grasp of domestic propaganda for everyone.
There's a balancing act there. Open communications are strategic. However, bidirectional communication that can be used for cyberattacks is a weakness. I mean, how much citizen-to-citizen communication to Russians is worth compared to the cost and probability of a well-organized cyberattack.