underfire,
Are you flying airplanes or designing approach procedures? From a pilot point of view doing an approach to LNAV minima, it shouldn't matter what vertical navigation mode you use as long as you stay above the minimum altitudes (+ temp correction). What the aircraft is capable of probably depends on aircraft type. Different operators may have different SOPs. I can tell you in the two different airlines I have been the SOP has been to fly LNAV and VNAV autoflight modes to LNAV minima with temperature correction to all altitudes below MSA. This regardless of OAT. If using LNAV/VNAV minima charted temperature restriction has applied.