i feel like thats different to the question of 'belonging,' but its a bloody interesting one. and, well, im not sure?
While literature is all about reading things into the writing and creating your own analysis and interpretations, there are also things a story is 'about.' things the writer set out the achieve. of mice and men is about the dust bowl migration, for sure. its not about the vietnam war, for sure, because that hadnt happened yet - but maybe people could apply relevance to the vietnam war.
theres some really horrible examples of stories being taken out of their creators hands, such as lolita - lolita is romanticised so much and the writer hated it, because the story was supposed to be a criticism of pedophilia. but due to the decisions of the publisher, and the people that got hold of the book, it was taken out of context - its hard to say the creator doesnt have last say when its possible to take their work so massively out of context.
so i guess... as a creator, i want to be able to shut someone down if their interpretation is like that. but otherwise, i really love the way that an audience can take a story 5000 different ways - i have a poem about a woman coming back from the dead, from the point of view of her girlfriend. when i read it, people come up to me and tell me about their interpretations - one man believed the woman never actually died, but came close, another believed the poem was about anorexia. theyre both things i never intended to communicate, but i can see how they reached their interpretation and think its really interesting.