I think kurnal has got to the root of this problem quite succinctly (as usual) but here is some peripheral information.
There will be no stratification in a room 6m high though, of course, it will take longer (as said above) for smoke to reach a detector at the ceiling. A smouldering fire might smoke log the space without the detector being reached but that is not strictly the same as stratification.
There is a model for stratification above an axi-symmetric fire that is quite simple to apply but even with with a very steep temperature gradient across the height of the space (i.e. where ambient air is much warmer at the top of the space compared with the base) typical values for the height that smoke will rise to are well in excess of the 10.5m mentioned above. For example, for a small 50kW fire in a 10m high room where ambient air is 20 degrees hotter at the ceiling than at the base (which is, frankly, much worse than would realistically be expected), the model predicts that smoke will rise to the full height of the room. What the model doesn't tell you is how quickly it will get there. For that, I would say you would need CFD (or a full scale test!).
There would have to be unusual air movements around the top of the space to maintain the inversion mentioned above. An inversion of cold air above warm air in the still air inside a building is as likely as a brick floating. Having said that, HVAC systems could maintain the phenomenon.
Out of interest, I tried many fire growth scenarios using different fire growth rates, radiative heat loss coefficients, air entrainment coefficients, etc and I could get close to 31 degrees at 121 seconds but not spot on. It would seem about right for a slow to medium fire growth rate in such a space.
Coming back to practicalities and solutions, I'm surprised no one has suggested the use of beam detection angled diagonally down through the space to cover the maximum volume possible - possibly the use of two - to give the earliest detection and warning. Or an aspirating system. Point detection is problematic anyway on high ceilings, how do you get to the things to test and maintain them? I've seen fun with cherry pickers, cracking marble floors and breaking glass channelling screens. I've even come across people dangling out of loft access hatches to reach the things.
Stu