I have solar and power walls at my home in SOCAL. If I have a Power Failure my house is fully backed up. But not sure I would still have internet. It would depend on if my ISP is fully backed up, right?
Those in PG&E with the power outages, if you have power backup will you still have internet? If so, who is your ISP?
Comcast: telephone pole amplifier power supply backup battery ran out. I found the unit on a pole and where it gets its power. I bet if I supplied it 120VAC, it would run again as well as recharge its battery.
AT&T DSL: A neighbor who had no electricity except for briefly on some backup generator did test their AT&T DSL line, and it was still working. As a result, I ended up ordering an AT&T POTS line, but they told me it goes all the way back to the CO, which around here is too far for DSL, but not too far for a DSLAM. We'll see what I can do about backup. I might have to dust off my 64,000bps POTS modem. Also, I want to consider wireless Internet.
The only wireless phone company that works here is Verizon, and I just cancelled them because they sent me too many scam calls (since both Apple and Verizon refused to block them). Some cell providers went down during the power outage, too.
I already got a HAM radio to replace the phone for emergency and logistics purposes, but I found out that now that I'm volunteering with some emergency communication teams, I think I should be able to help people make phone calls during that time, so I've come full circle on that back to POTS. I'm very disappointed. I'm interested to see how much politics causes SpaceX's StarLink to have downtime, as well as the occasional technical failures and wars that take it out. Also, they may not have reliable service (i.e., too many interrupting scammers, too many censorship cutouts, etc.). Depending on how that goes, I'll get rid of my POTS line again.