From my previous post:
on the 737 as an example the vertical profile is managed with alt, vspeed, airspeed and elevator deflection.It would also be possible to design a VNAV system based on the AoA or any other useful reference (es: accelerometers)
My learning about it has been verified multiple times with open answer/oral exams. No need to ask "my instr instructor" or to "check my learning material".
Still waiting to read how the FMS can control the vertical navigation without controlling the engines.