One crucial difference that seems to break the analogy is that money is a utilitarian tool. It doesn't have an absolute, “true” price or way of managing it. Anything that makes people feel happy and economy grow is good, and is “true” way to run money.

Truth is not like that. It's must be absolute, and it should not be defined arbitrarily based on what improves people's well-being. (Or maybe it should, but that's going to be a different kind of truth.)