The Blue Guide may appear unclear in places, but the bottom line with protected route stairways is the restriction on the type of openings allowed into the stair. It states that the only doors allowed to open into them are from toilets (low risk), lifts, corridors or lobbies, and exceptionally, low risk rooms. Note that (other than low risk) rooms are not permitted. This means that spaces containing combustible materials and ignition sources are less likely to affect the integrity of the stair enclosure in a fire situation, which is why we can disregard travel distances within the stair (a place of comparative safety). As far as height goes, the higher the building, the longer period of time will be spent in the stair, thus requiring the additional protection of lobbies or protected corridors, as PhilB has stated. Whatever the level of fire protection, travel distance tends to be included in all horizontal components of escape routes, but not in the vertical if suitably protected.
Don't forget that the Blue Guide was written by a deranged civil servant...will the new guides for the RRO echo the current guidance, and provide for a similar or even higher degree of protection than existing benchmarks? Answers on a postage stamp please.