Let's be slightly more accurate, shall we? You can use it as a backup power device, but as davo said, there is no way for the UPS to send a shutdown signal to the device. Unfortuantely, we have no control interface for that at this time.
You will at least gain the benefit of protection from power spikes and some power failure scenarios by having it on a UPS. And you can always manually shut it down in the event of a failure if you happen to be around. So some protection is better than none.