The distinction matters most when a POTS line is being withdrawn. The device on that line still needs what the line gave it. It also still needs to reach the public network. Those are separate jobs, and a replacement has to do both.
Atlantech Online, a business phone and fiber provider, shows how the jobs divide in its POTS replacement service. A wall-mounted appliance in the telecom closet takes the place of the copper lines, and Atlantech says it gives every device the same analog dial tone it has always used. Each existing line is moved to an FXS port, the port type that plays the telephone company's role toward an analog device. One unit supports two to eight lines, and Atlantech puts the typical cost at $15 to $45 per line per month plus hardware.
The appliance does not need an analog line from the telephone company. Calls reach Atlantech's voice network over broadband, with 4G LTE as a second path. Power no longer arrives from the telephone company, so the unit has its own battery, which Atlantech rates at up to 24 hours.
The PSTN side barely changes. Atlantech says it ports the existing numbers for the fire panel, elevator, alarm panel and fax lines, so that a central monitoring station keeps receiving calls from the same caller ID. Its cutover process tests fire and elevator lines with the monitoring center after each line moves. The number was never a property of the copper. It is an address on the public network, and it moves with the service.
So a building can lose every POTS line it has and remain on the PSTN. What has to be checked, device by device, is whether each one works on the replacement line and how long it runs when the power is out.