Sorry if this is a known issue. Had this experience I thought I would share as product feedback:
I recently lost Internet for a few hours and discovered the Relay that I had connected to the WiFi did not fall-back onto the cell network but stayed connected to the WiFi with no Internet. The Relay voice says “The device is not connected to the Relay server.” I continued testing to see if it would cut over to cell, but over at least three hours it stayed locked onto that no-Internet WiFi signal.
I did try to switch it to cell manually using the app on a phone connected to the same WiFi network, but this did not work, showing as “Unavailable”.
If I shut off the WiFi, Relay would cut over to cell an start working again. However, when I re-enabled the WiFi, the Relay connected to that no-Internet WiFi and stayed locked-in.
Lastly, at least two hours after Internet came back on, the Relay device was still showing red. When I pressed the Talk button, I received the “not connected to the Relay server” message, then a split-second later the light went green and everything started working. It needed a “kick” to get back online.
Ideally, Relay would immediately fail-over to cell when Internet is lost, not stay connected to a No-Internet WiFi network, and come right back online when Internet connectivity is restored.
I really want Relay to work for the child and senior use cases, but in both of these cases the holder of the device is not expected to have any technical expertise at all. For them, it just has to work, and work all the time. Therefore Relay must have extremely high availability, aggressive connectivity, and very robust remote management features, otherwise a cheap smart phone with parental restrictions works better. I look forward to the improvements I know Republic is working on!