I would caution you on ever thinking that allegories or analogies "demonstrate" anything. Analogies can be used to explain a model of a system, but they can't b

I would caution you on ever thinking that allegories or analogies "demonstrate" anything. Analogies can be used to explain a model of a system, but they can't be use to prove that that model is accurate. Consider the analogy "arms are like wings". That's actually true in a lot of ways, but we can't simply assume that arms have all the properties of wings by analogy, otherwise we'd conclude that arms allow us to fly. That education improves our capabilities is fairly well proven via other means.