This is a case where details matter. Exactly how long was the power outage? What where the hours of the outage?

If the hotel did lose all power, then you be worrying about safety, not compensation. While life safety systems like emergency lighting are designed to run without power, they can't run indefinitely.

In the aftermath of any natural disaster, it's smart to ask the hotel about their life safety systems. But, don't panic if the Front Desk representative is clueless. That's a question for a manager or hotel engineer/maintenance.

In perfect world, all hotels would be prepared. Since we don't live in that world, it's smart to ask.