If you are assuming a rover platform in a harsh magnetic enviroment,
then the extra bits will not likely buy you anything. You would end up
with just more precise garbage answers.
Now if your sensor is on top of a mountain in Greenland (do they have
mountains?) away from anything that would corrupt the magnetic field,
those extra bits might be very nice to have.
I subscribe to the space weather emails. I get a warning for things
like solar flares and other phenomena that would affect objects in
space and communications on the surface. One thing they warn about are
sudden magnetic anomalies where the magnetic field takes a short jog
away from baseline then back again. The variations are small enough I
have never seen them with a top of the line sensor in an urban
environment. But I suspect you might with a 14 bit sensor in a rural
area.