Your ISP has working battery backups. Don't expect it to stay on for longer, widespread outages though. When the power is out for a week, satellite is usually the only thing that will still work.
ISPs that still provide DSL, really don't want to put any effort into maintaining their equipment these days. They probably stopped replacing the batteries a long time ago.
Fresh water doesn't mean drinkable water, it just means not salt water. The desalination plant produces drinkable water.