There are many reasons not to depend on POTS power, but the limits of the circuit shown in the EDN article don't exhaust the possibilities. The section 48 rule basically says you can only draw about a half milliwatt of average power. But for some duty cycles/ applications that is enough. While a couple day charging time seems huge, there are many applications that only need once a week data or less. And batteries for these long duration activities can be challenging. The EDN circuit stops collecting power at roughly the two day point, and is thus collecting only about a third of the energy available for a weekly operation.
Of course there are many other sources of a half milliwatt of average power (solar, wind, etc.) and in many applications they would be a far better choice. But there are always those corner cases where POTS might be the right answer. At least while it is still with us. The POTS line at my location has been disconnected for more than a decade now. In principal it could still be reconnected, the service is still there about 50 meters away, but maintenance on it is somewhere between minimal and non-existent. When the power company went through clearing intruding trees from their lines, the phone company declined to pay for clearing their lines on the shared poles. Shows they have no long term plans for these wires.