No. Muting often acknowledges the sound while the condition that triggered it still needs attention. The exact display behaviour depends on the model.
What the observation tells you
A door warning, temperature warning and control notification can require different responses. Silencing first and forgetting the original symbol removes useful evidence. A quiet kitchen should not be mistaken for confirmation that food is safely chilled.
A useful next step
Note the message, check the relevant condition and use the manual's acknowledgement method. If a temperature concern persists, arrange suitable food storage and assessment. Report whether the warning returns or remains displayed after the sound stops.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.