Peer-to-peer communication is

Peer-to-peer communication is horizontal, flowing between people of equal rank.

It moves sideways among equals rather than up or down a hierarchy.

Calling it convoluted describes tangled messaging, not the level of the participants.

Non-transactional denies the give-and-take that peer exchange in fact involves.

Authoritarian describes top-down control, the opposite of equal-level exchange.

Horizontal communication links colleagues at the same organisational level.