I think that is right. Everything that makes a monetary medium work as a tool for coordinating our values in the world is based on how strong it is at holding to the ordering principle of the world we are trying to coordinate our valuing of. Hardness.

Cryptography is the art of securing information. By securing the information of the medium to electricity with cryptography (including game theory) we got two things. Our ability to coordinate our values in our actions gets way better and we pull higher order into the world like never before. (So it makes us better and the world better.) And second, the fact that it does that proves that it is an accurate reflection of the higher order that orders the physical world. (So it's a mirror of the ordering of the physical world.)

That last part I didn't get until Jack and Nick noticed that and started to get the message out, and I think it's a huge accomplishment on their part. Props to @Jack K and @PlebNick