In that case (IMHO) the spread of heat and smoke from a fire in an office will be so diluted by the time it reaches the perimeter of the atrium and starts spilling into it that you may not get sufficient heat past even a fast-response sprinkler to trigger it until there is a very sizable fire in the offices.
BRE 258 - the 1994 guide by Hansell and Morgan on 'Design approaches for smoke control in atrium buildings' - on page 22 onwards gives an explanation of using channelling screens to confine the spread of smoke to ensure, amongst other things, that there is not too much dilution of the hot gases so that they retain buoyancy and do not gain so much volume that large areas of vents are needed. (I think this Guide may have been revised more recently or a new one published - it may be worth checking
www.bre.co.uk for information.)
But even if this is done to ensure sufficiently hot gases can set off the deluge system, I do wonder what will happen to the rising smoke plume as it passes through the deluge.
And if you spend money on smoke curtains would it be better to install these round the edges of each floor so that on activation of the FA they drop down (except on the fire floor) and isolate the non-fire floors from the atrium? You could then do away with the deluge system - just a thought!