This isn't a specific Russian problem. English speaking school children are forced to read Shakespeare, and I really don't think that works either. (That isn't a condemnation of Shakespeare but of schooling.)
I do love literature, but that is in spite of school not because of it. School did a lot to put me off some books. I was lucky to have read Golding's "Lord of the Flies" before our class did, because it gave me a better appreciation of it. I did read some big books as a teenager. I waited until my twenties to tackle Dostoyevsky though. "The Brothers Karamazov" was especially difficult.
If your school just had you silently reading Shakespeare they were doing it wrong. It is meant to be performed and watched, his works are plays and poetry not novels. I was lucky, my English Literature teacher in high school was a (very) minor playwright and well aware of how important speaking the lines out loud is, and how watching a play is so very different from reading it.
It's a 'good learning opportunity' that distracts you from every other aspect of the work.
You can't learn two difficult things at once well. When you have to put significant amounts of mental energy into parsing the semantics of each sentence, it utterly ruins any enjoyment you might have from the work itself - and makes it much harder to clean any meaning or subtext from it.
I do love literature, but that is in spite of school not because of it. School did a lot to put me off some books. I was lucky to have read Golding's "Lord of the Flies" before our class did, because it gave me a better appreciation of it. I did read some big books as a teenager. I waited until my twenties to tackle Dostoyevsky though. "The Brothers Karamazov" was especially difficult.