Yes, recovery behaviour is model specific. The programme may resume, pause or require a documented user action, so do not assume the load completed.
Understanding this situation
A dark display during the interruption does not show what washing or drying stages were reached. The final detergent or water state can also be relevant once normal safe access is permitted.
A useful next step
Follow the exact manual when supply is safely restored. Record the interrupted stage and any new message. Leave the machine unused if it trips, leaks or smells unusual rather than repeatedly cycling power to force completion.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.