How each person uses their internet connection is different, but the shared feature is text
It shouldn’t be hard to mass produce tiny wireless mesh boxes which allow anyone to transmit and receive text messages with very little power
If there’s a node in every home, conceivably, someone could send a message cross-country (albeit slowly). If anything, during a natural disaster or any emergency, they could ask for help or let loved ones know they’re alive when all other infrastructure is down