Bitcoin is based on a mesh network. Rather than having a central server that all bitcoin wallets connect to, the wallets all connect to eachother. This is known as peer-to-peer networking and resembles a similar architecture to file sharing technologies such as BitTorrent. Peer-to-peer networking is highly resilient against censorship and control, since it has no single point of failure.
Have you any idea of what a "lay person" would make of these couple of lines?

It would mean absolutely nothing to them.
Way way way overcomplicated.