Russian here. This is a super old claim from our government and is a common source of jokes, it’s even called “Cheburnet” (from Cheburashka) colloquially, nobody really treats such claims seriously. Last time Russian government tried to influence internet was when they struggled to ban telegram for several years, and ended up giving up, endorsing it, and moving their official resources to it.

All of these are strictly Ukrainian though. Following some Russian sources as well would make sense to get fuller picture.

(I’m not providing examples though as I don’t really follow either. Several months into the war I gave up trying to sort propaganda from something substantial)