All money is a social contract as far as I can tell. They're always based on the expectation that we as a society will continue to value an intermediary at a predictable price relative to things we may want yo buy or sell later.
Real money would likely look like gold, or perhaps Bitcoin.
Fiat money would be strictly social contract based, in a Bernie Madoff sorta way.
Why would it look like bitcoin, and not any one of a trillion near-identical forks of bitcoin?
(Because there's an social contract, that by fiat decides which one is the 'real' one, just like how vkoubux aren't considered legal tender.)
Bitcoin isn't real money and no one actually tries to use it as money today. At best its a security, though realistically its more of a gambling chip than anything else.
Bitcoin fundamentally won't work as money, even if it can be a store of value. Second tier networks like lightning are required, but those only work by abandoning core pieces of the bitcoin protocol and avoiding actually using bitcoin at all.