It does sound a confused situation, I gather from what you say the shop unit has two fire alarms, the landlords system has both MCPs and detection in the shop and the BCO is requiring you to install a seperate alarm system including void detection in the shop. Am I reading this right? If so it sounds a right mishmash - it's ok to have seperate alarms linked to operate together but there should never be duplicate call points, detectors etc.
Overall to me it sounds as though the shop unit is part of a larger building comprising the car park. If it should be that the car park for reasons of life safety has an L1 system then it might be reasonable to expect all spaces including the ceiling void to be covered. But this would be a very unusual situation for a car park! Other than for that scenario it is difficult to understand why the BCO should be asking for void detection. Remember the BCO can only require work to be done in respect of life safety, property protection is not their remit.
There is information and guidance in BS5839-1 in respect of risk assessment of voids, including the category of system, the presence of combustible materials in the void, whether the ceiling is fire resisting etc.