I don't think reality is independent of existence. Reality is the state of that which exists. We use different tools to interpret that reality, and some create a model that is more closely related to reality than others. I believe it is entirely fair to say one person's interpretation of reality is more true than another's, which would be the one that more accurately reflects that reality.
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own - Bertrand Russell