There's also no security protocol for the bridge turbo lift either. Anyone can go in there and they notice the intruder only when he steps on the bridge.
Indeed. Although what are the specific instances of this happening? Van Gelder in "Dagger of the Mind", and..?
Places like sickbay, security, engineering, would likely have a small number of lifts just standing by.
...Which makes it all the funnier that there doesn't appear to be a turbolift station of any
sort immediately adjacent to sickbay, before or after the refit.
And would that perhaps have been the not-so-proximal station on the sickbay level that McCoy was huffing and puffing at, when Saavik held up the lift? No priority override for the poor doctor!