I don't see how Russia is culturally part of "the West" in any meaningful way.
We can debate whether, say, Poland or Hungary is, but Russia is, to me, surely not part of any meaningful definition of the West (in a cultural sense)
"but Russia is, to me, surely not part of any meaningful definition of the West (in a cultural sense)"
Why not? The roots are probably in norse/viking people mixing with the locals and it later became a christian country by force, like the rest of europe, though orthodox (like greece is for example). It always was more off, sure, but for example Alexander II greatly invested in connections into the rest of europe. Russian thinkers and writers were greatly influential in europe, like Tolstoi and Dostojewski, or more to my liking: Bakunin and Kropotkin.
The whole east and sibiria always was and is different, but west of Ural traditionally had strong connections with the rest of europe.
Yes, actual Russians (русичи) are from Russia tower, now Old Russa tower (Старая Русса), which was on Russia river, now Porussia river, but Russians renamed their country to Ukraine, to avoid confusion with Russian (Moscow) Empire.
Russian (Rossian) Federation doesn't contain a region named "Russia". Russians (Russish, русские) are believers of Russian Orthodox church and not a nation at all, like Catholics are not a nation. Rossians (россияне) is.
Many nations, such as Tatars, Mordva, etc., were turned into Russians (Russish) by a process called "Russification", when stolen Russians Orthodox Church was used as tool to enslave peoples and erase their identity by giving them Russian names and forbidding to use their native language in favor of Russian Church Slavonic language. Scratch a Russian and you find a Tatar[1].
I don't see how Russia is culturally part of "the West" in any meaningful way. We can debate whether, say, Poland or Hungary is, but Russia is, to me, surely not part of any meaningful definition of the West (in a cultural sense)