A network warning and a refrigeration problem are separate observations. Many connected appliances can operate locally, but the exact behaviour must be checked in the model instructions.
What the observation tells you
The app may lose remote functions while the cabinet continues normally. Conversely, a reassuring old app reading may remain visible after another problem occurs. Do not power-cycle a food-loaded appliance repeatedly to troubleshoot the router.
A useful next step
Check the local controls and storage conditions, then follow the documented network procedure separately. If cooling also changes, report that independently. Remote alerts are useful support, not a substitute for suitable food monitoring.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.