If we delve into the ancient past, we will realize that swans were considered a symbol of death, not love.
Since childhood, I have two favorite characters, whom I still love: Nastasya Mikulishna and Vasilisa Mikulishna (two sisters). These are the characters of "былин" - "bylin" - the epics, which are folk stories about various heroes who protect the people from villains and the bad actions of princes. These women are warriors, and we call them "богатырша" - "bogatyrsha". "Bogatyr" is a warrior who possesses "superhuman" strength, intelligence, and a kind heart. Usually, these characters are male, but there are also female warriors in Russian folklore. I think such characters would be to the taste of "the progressive West". They are cunning, brave, strong, beautiful, I would say that they are, in some aspects, the standard of proper feminism.
The characters' images are funny in some moments, for example, the story of how Nastasya met her husband - Nastasya, dressed as a warrior, met bogatyr Dobrynya Nikitich in the field. Dobrynya did not immediately realize that she was a woman. They began to fight to see who was stronger. Nastasya defeated Dobrynya and put the warrior, who was upset by his defeat, in her pocket. - (It's normal for bylin to change the size of objects and characters.) - Nastasya continued her way through the field, but suddenly she thought, "Oh, what am I doing? I put the bogatyr in my pocket and didn't even look at it. I'll take a look at it, and if I like it, I'll marry it. If I don't, I'll kill it." She's funny.
There is a 1975 cartoon that retells one of the epics about Vasilisa Mikulishna, Nastasya's sister. I think if you're interested in learning this story, it's best to watch this cartoon.