No.. Power was lost just today and they rebooted just fine.
What's nice about these cameras is IF when you lose power in the house and the router picks up a new ASAP, these cameras send an email letting you know what the new IP is, and it's a very simple field fix. My router, modem, and a few critical switches are all on UPS anyway so that's happened probably once in 2 years.
I bought one of those RING doorbells and returned it within hours for a number of reasons, but one of the big ones is the subscription picture service. Don't need to pay for something that the bought gear should do