They have different targets, loads and operating functions. A simultaneous restart does not mean both compartments will reach their intended conditions at the same moment.
What the observation tells you
A freezer with a large frozen load may behave differently from an empty refrigerator, while a warm fresh load changes the comparison again. The model's startup instructions determine when each space is suitable for use. A first extinguished warning is not universal clearance to restock everything.
A useful next step
Follow the documented recovery process and monitor both spaces appropriately. Keep food in suitable alternative storage until its required conditions are established.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.