Peer to peer cash system is #gold .. it literally says "peer to peer".. which means txns between bitcoiners :-)
Every network has peer to peer txns .. in fact that is the very definition of network..
For example - $aapl is a network of apple stock holders , employees , developers .. insiders of this network transact in $aapl .. eg executives are paid comp in stock options .. but it is an inferior network than gold .. and gold network is inferior to Bitcoin Network
Better the network , better is the asset quality ..
On the other hand - a payment system is never a network ( of independent nodes ) ..
NETWORK IS THE ASSET !