Yes, Plume WiFi services will continue to work in the event of an Internet or Plume Cloud outage allowing you to continue accessing the local network.
However, if your Plume is in bridge mode and the scenarios below are also true, your devices will lose their WiFi connection to the Plume network.
1. Your router is OFF.
2. The cable connection between your router and the Plume pod is disconnected.
3. Your router's DHCP server stops functioning.
In bridge mode, Plume relies on the router it's plugged into in order to allow devices to connect and get IP addresses. If the router disappears, the connection between Plume and the router is interrupted, then Plume will be unable to assign IP addresses.
When your Internet is down, avoid restarting your router repeatedly as this will eventually cause your pods to local local internet access as well. Wait until you've confirmed with your provider that service has been restored.