[p2p] gossip communication assumption


The whitepaper says:

Tendermint Core doesn’t make any assumption about point-to-point connectivity, and functions for as long as the P2P network is weakly connected.

This puzzles me because the liveness proof in latest gossip needs the assumption on gossip communication (see page for the definition). I’d be grateful for a confirmation that the p2p level does satisfy the gossip communication assumption.
I would also be grateful for any pointer to the p2p documentation and/or code which would support this claim.

Thank you,