Authors Intentions

What writer intends for their work to be reinterpreted? At the end of the day the writer is thinking about the story, and the emotion at the time they are writing it. Maybe some contemplate how their plays we will be 'reinterpreted' hundreds of years later by people living on the other side of the world who speak an entirely different jargon...but most playwrights probably don't think past the first staging of their play, and novelists past finishing the novel. And yet if they are a really good playwright their work won't be so culturally, and contexually bound that it can't be performed in a different time period, language, setting, context and still connect with the audience. I don't think like an Elizabethan actor, writer, director let alone audience member. For one I'm better educated than a woman of my class would have been, for another I'm less lightheaded (no corset.) So I am assuming that how I interpret Shakespeare will never be exactly how it was originally intended.