Probably misunderstood the question Dave but I don't see a need for additional staircases in the circumstances you describe, is not the main factor that persons can move horizontally away from the fire zone into an adjoining protected zone with further options for movement, preferably horizontally, from there. I see staircases as a necessary evil when the size and shape of the building precludes the options for further horizontal movement. Subject to capacity and layout two should suffice in most buildings?
I share your concern over lifts. Specially those from Greece with a 200l reservoir of flammable hydraulic fluid in the bottom of the lift shaft and strict adherence to EN81 which means the doors have no fire resistance from the shaft side and have to descend to access level with doors open when the fire alarm sounds. Sorry for keepin on bangin the drum but nobody else seems interested or concerned. EN81 is a disaster waiting to happen. I tried to get the installer to change the fluid to a fire retardant spec when I came across this the first time but they would not as "such a change would breach type approval regulations." (I voted in by the way)