say the gain function for each side of the stator looks like
f(x) = 500x +10( x^2)
now put in x and -x as the differential signal and take the difference of the outputs:
( 500x +10(x^2)) - ( 500(-x) +10((-x)^2) ) = 1000x
even powers always give positive result for both +,-x that makes the +,-x even order distortion terms cancel in the difference output
you do have 10x^2 common mode - which subtracts from the bias V but doesn't push or pull on the diaphragm because it is the same on both sides
the effect of subtracting from the bias V is negligible at audio for typical high resistance diaphragms since the time constant for actually changing diaphragm charge is long