LLMs have neurons relating to emotion.[0] It reasonably follows that generative art networks do too, which would make their art genuine by Tolstoy's definition. (I don't think he would have been happy to hear this, though!)
Although, "truly experienced the feelings" implies something more than mere mechanical neural activations... the problem becomes the hard problem of consciousness. (Does the enslaved linear algebra really suffer, or only seem to suffer? Perhaps there are beings observing us now, asking the same questions about us.)
[0] https://www.anthropic.com/research/emotion-concepts-function