My local experience with blackouts is cell towers become unusable after 4-6 hours; if the outage started in the middle of the night, sometimes things work a little longer, until everyone wakes up. Emergency calls have priority and can attach to any network, so maybe they would work, but not if all the cell towers are totally offline.

Certainly some towers may have onsite generators with fuel set to automatically run, but not the ones around me, and I've had two multiday outages this winter.

Landlines should work, but I don't know if Chile has many of them. I know they're rare here in Washington State. Wired internet is a maybe, depending on provider choices.