The 'actual' relevance if this is another matter entirely.
Yes. I think we might actually agree in the main part Stu.
Toms example was really showing the reason for lobbies even when multiple staircases are present, which also traces its routes back to the days of TL's etc. It also makes more sense of the requirement for every floor to be a compartment floor in a building over 30m high.
So, to cut a long story short:
A single stair building at some point needs added protection to the stair.
History based this limit on fire service equipment available at the time and the ability of the fire service to perform rescues.
We have stuck with these figures, give or take a couple of feet/metres, because we still need a limit.
Just to add:
Even though we do have this no-mans land of external access between the 10/11m that the standard ladder can reach, and the 18m whereby we should have suitable facilities inside the building... Back when these figures were being played with the stairs will not have had the level of protection they are afforded now, i.e. Strips/seals etc, We can probably afford to have a bit more faith in the ability to get at the fire from inside the building.