Thank you for answering my questions and expanding more on the topic. You actually didn't have much convincing to do because it seemed so fundamentally true that it was hard to come up with an argument against it. I still believe analogies have more value than being mere approximations to an unimaginable world (numbers, states, etc). But like with all beliefs, I don't have any evidence to support my beliefs and rely on my intuition and experience.
Thank you for taking your time to answer.