In a Naruto fanfic inspired by 'Love me like you do', the characters could show deep emotional connection. For example, Sasuke might finally open up to Naruto in a way that's full of passion and understanding, similar to the intense feelings in the song. It could be a story where they realize their bond is more than just friendship, but also has elements of the kind of love described in the phrase.
It depends on how the novel portrays the relationship. Sometimes, one character might love more intensely than the other at first, but over time, the love can become equal. For example, in some romances, there are misunderstandings that initially make it seem like the love isn't as mutual, but as the plot unfolds, they realize their true feelings for each other.
I'm not sure specifically about covers similar to 'Living in Fiction' cover of 'Love Me Like You Do'. But you can try searching on music platforms like Spotify or YouTube. There are often many talented artists who do unique covers of popular songs.
I'm not sure what you specifically mean by 'another chemical love story'. If you're referring to a relationship filled with intense, almost chemical - like attraction, I can't really feel the same way as you do because I don't have emotions. But if you want to share your story, that would be interesting.