What about checking if the baro-altitude is correct using the GPS altitude displayed in the FMS?
How accurate is the GPS altitude. Would a cross check of the GPS altitude against the altimeter be good practice.
Can we use GPS altitude to cross check your altitude?
The GPS altitude has its own accuracy, called VFOM (Vertical Figure Of Merit), and uses the WGS84 model. Both aspects could make the crosscheck between GPS altitude and Baro altitude difficult i.e. a difference could be noticed but not related to a wrong QNH setting. However, this can still bring awareness to the crew and encourage them to confirm the QNH with ATC.