No. Water freezing demonstrates only a limited condition and does not verify the intended storage temperature throughout the cabinet.
What the observation tells you
Different package sizes and foods respond differently, and a small tray can freeze while a large fresh load remains unsuitable. The test also says nothing about a previous interruption. Using it as the only check can create false reassurance.
A useful next step
Use the recommended setting and an appropriate freezer thermometer where needed. Follow food labels and official guidance. Report actual temperature and loading observations rather than relying on one tray of ice.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.