Which is unfortunately exactly the same problem should a normal lift system jam. Turbolifts will (hopefully) get people to their stations in a matter of minutes. How long would it take someone on say a modern Nuclear Carrier, to get from for example the mess-hall to engineering going via ladders and corridors?
In all of Trek, turbolift failures are shown to be relatively rare, off the top of my head I can only recall TWOK (heavy battle damage), Contagion (computer virus) and Disaster (heavy damage from a cosmic string), I think IIRC also Year of Hell, but once again the Voyager
in that episode was overall a mess. In many of those cases, staircases and corridors would have been just as vulnerable as a lift system (either turbo or conventional elevator).
Starfleet probably decided that the low risk of failure was outweighed by the system's overall usefulness.