I am happy to be corrected at any time but I dont think this provision comes from 5588. I wonder if it may have been in the old CP3 chapter IV 1971 in respect of balcony access flats? May be worth a look. But I still think that the approach in BS DD9999 is the way to go.
I can see where you are coming from in so far as sprinklers, compartmentation, and a stay put policy may work together. The problem is in showing that should any stratification occur, where it may occur and whether it may pose a risk to anybody.
Your proposal would rely on the stack effect to maintain tenable conditions in the atrium, and all in all I suppose you need to show that the level of safety is at least the same as with the 7.5 m dead end ventilated corridors permitted under the ADB. Whilst as a plus you are suggesting sprinklers to reduce the risk, you will have many more flats on a number of levels opening into a large space which on one hand may result in air being entrained increasing the volume of the smoke whilst on the other hand the smoke should not be very hot or bouyant.