It's weird to think P2P is becoming all the craze for "privacy" while it's the backbone of the internet: it is p2p. It's just nowadays its more of P2(big cloud servers)2p; which could be a good thing depending on who you ask and your usecases.
But p2p is more about the network connectivity than whether the node is an Amazon server or a mobile phone. The normal Web for instance does not build on this network nodes capabilities. We need more apps that build these kind of collaborative and self-sustainable networks