The risk assessor is correct and reflects the Government guidance that sets out requirements in small premises - domestic smoke alarms are for homes not places of work:
https://www.gov.uk/government/publications/making-your-small-non-domestic-premises-safe-from-fire
Means of giving warning in the event of a fire
In single storey premises with open plan layouts and small numbers of people, the alarm could be raised by shouting ‘fire’. Alternatively, the alarm could be raised manually, using a hand-operated bell or siren. In premises of more than one storey, where the above method of giving warning would be unreliable, an electrical fire alarm system should be installed. These systems should have ‘break glass’ call points and fire alarm sounders, connected to a control panel.
In premises of more than one storey, where a fire might start and be undetected in its early stages, the fire alarm system might need to incorporate automatic fire detectors. These will generally be smoke detectors or, in the case of kitchens or other rooms in which smoke detectors would cause false alarms, heat detectors).