Only in the modern era, through live television and radio, telephones, and the Internet have we achieved effectively instantaneous communication over long distance. A lot of communication is still not instantaneous. Thus, a single "connection" may actually have a long life. When one reads the Code of Hammurabi, who ruled in 1795-1750BC, one is reading a work across a connection spanning nearly four thousand years. It can be instructive to consider the chain of responsibility for the work: The original author, the transcriptionist, the carver, the archaeologist, the translator, the web site host... note that I am not on it, I'm just pointing at the work and have no control over it.
This is one of the reasons I define connections as a unidirectional flow, rather then the more intuitive (under some circumstances) bi-directional flow. "Connections", and more specifically, the "messages" quite frequently outlast their senders. Modelling that as bi-directional is the only way this makes sense.