Some systems have separate alarm power or backup arrangements. The exact design must be identified rather than assumed.
What the observation means
An audible warning does not prove the pump motor has a working supply. Conversely, a silent alarm does not guarantee healthy pumping.
A useful next step
Check only the owner-visible indicators and manual. Do not open electrical enclosures to trace supplies. Stop fixture use during uncertain operation and provide both pump and alarm details to the service team. Let competent assessment establish what is powered and what is not.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.