How will the response of the circuit change if the value of the inductor is changed?
Because the strength of the magnetic field is proportional with the value of the inductance, choosing an inductor with value bigger than 100uH will result in a higher voltage at the output of the sensor when the electromagnetic is closer to the chip. If the inductor has a smaller value, the effect will be opposite.
Why do we want to lower the output offset voltage?
By lowering the offset voltage, we will implement a ratiometric offset that places the Zero Gauss point at the desired potential.