A better example would be the 9/11 attacks on NYC that took out large swaths of Internet and cellular service ... yet POTS still worked, occasionally in an island, but it worked none the less.
The Internet was designed to work in unreliable conditions, which coincidently is how it turns out working.
The POTS was regulated into having a certain level of reliability. It is considered by the US government as critical infrastructure, and has legally required SLAs attached to it. This is why a REAL T1 (not some other circuit with 1.5Mbs of data), carrying 24 DS0 channels still costs $1500/month, but you can get 10Mbs for a couple hundred. The T1 can carry voice, so its regulated as such, and thats why you'll have the AT&T guy at 1am in your data center trying to resolve issue with the circuit without sen asking them to. The phone company sees that it works or they get the shit fined out of them.
This happened because it turned out that once everyone got phones, we realized how awesome they were in emergency situations and how many resources could be saved thanks to being able to communicate with anyone in the country quickly and reliably.
I'm fine with dumping POTS, but I want the Internet to have that same sort of regulation behind it to ensure that it works far far better than it does now.
We also need to switch to PoE if we're going to dump POTS and supply power from the CO so at least ONE device in the home can stay powered on from offsite power if the mains fail.