A working light confirms only its own operation and does not establish the condition of every function in the appliance. The freezer may still need separate assessment.
What the observation tells you
Displays, lights, fans and cooling components can behave differently during a fault. A bright fridge therefore does not certify that frozen contents are being maintained. Nor does a dark lamp alone prove that the whole appliance is unpowered.
A useful next step
Record illumination, screen behaviour and temperatures as separate observations. Follow the model's safe owner checks and protect food if either compartment is unreliable. Do not open electrical covers to trace the supply.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.