Colin,
A couple of points.
If you are the fire risk assessor but are not sure of how the atrium is meant to work then I would seek specialist advice.
As Colin Cox has stated, you could use ADB, and it sounds from the information you provide in the original post that this could be appropriate, or
You might be able to use ADB but adapt it using the standard methodology for accepting escape routes within 4.5m of a void edge, or
You could follow the flow charts in BS9999 (do not use the HTM guidance), or
You could make it up as you go along use fire engineering first principles.
You indicate that you know that the means of escape is ok without any reliance on the bridges so all you have to do is keep routes from the bridges to the office accommodation clear in both directions.
You have the fire startegy for the building and if this states that a fire loading is acceptable in the base of the atrium then you can be pretty confident that a fire loading on one of the bridges will also be acceptable provided that it is a reasonably small fire loading (see further comments below).
The building might have been designed not to have fire or smoke in the atrium in which case there might be inadequate detection in the atrium, the HVAC system might not shut down quickly or extensively enough to prevent smoke being carried into all parts of the building, the atrium might smoke log (the ventilation in there is probably for smoke clearance only, is probably at high level only and is probably no more than about 10% of the floor area of the base of the atrium and so will not be effective at maintaining any clear layer below the smoke layer) which could lead to smoke spread through the building and which could produce a disproportionate amount of smoke damage for even a relatively small fire.
Is the building designed for simultaneous evacuation? It might have phased evacuation if the atrium is enclosed in FR. If it is phased, when is the atrium evacuated? First phase? Or does it vary from level to level?
If the atrium is surrounded by at least smoke retarding construction then you can be more confident about the means of escape.
Is fire fighting access suitable for fires on the bridges in the atrium?
Sometimes, in atria, it is assumed that the elements of structure and construction in and around the atrium (e.g. steel members, glass roofs, glass walls) will be subjected to smoke at a lowered temperature because of the fact that any fire will be well below those elements of structutre and construction, and smoke will have cooled by the time it ascends to those elements. You may be stepping outside of this safety net if you allow fire loads at higher levels in the atrium. You might be able to check this from the fire strategy.
You will have to do a specific FRA for the event if the building is not being used in a way that fits into the general pattern of use which has been assumed under the prevailing FRA. Also, you might want to consider some general health and safety points. For example, we don't like display stands next to voids in shopping malls as things can drop off them over the edge. Perhaps a H&S RA is also required. Neither of these RAs need be prohibitively time consuming or restrictive.