...Whether a stretcher patient would be among those things, I dare not speculate!
OTOH, if you are going to haul a patient around on futuristic stretchers, you no doubt make sure that they
a) hover on their own power
b) hold the patient in place with artificial gravity or the like
c) make the patient immune to accelerations with inertia-damping fields
in which case it's trivial to simply flip the stretchers to a vertical position when they need to fit inside a turbolift.
It just seems that with conventional stretchers, you indeed have to do some disassembly first, at least on the TOS elevators.