Power outages are common in parts of the world. In Lebanon, the state power plants infrastructure is not able to provide electricity 24/7, and so we rely heavily on private power generators to feed the gap. This leaves a 1 minute power outage gap for electricity to be back up, regardless of its source.
The ability for appliances to power back on and continue their operation is an expected feature for us. For example, our washing machine continues its cycle after a power outage; I can't imagine having this any other way. Similarly, it would be very convenient for the Anova device to power back on and continue its operation. To address safety concerns, this feature can kick in say only after a safe power outage duration (e.g., 5 minutes or a predefined setting in the App). By doing so, it would address the described power outage scenario while ensuring that the water temperature doesn't fall dangerously low.