I don't know much about what you are talking about, but I did notice that putting a permanent magnet near a inductor connected to a LCR meter also varied its inductance reading somewhat. Maybe its a cleaner way to adjust things then putting a DC current on it.
My work with fluxgate magnetometers says that this is true, I went to great lengths to keep any kind of DC out of the device (did not want to couple capacitvely), ended up using complicated hybrid chopper amplifier. They use a servo loop to maintain linearity and balance the currents.. might be a bit relevant to what you are saying.
It's probably possible to actively null that current, variation in sensitive areas, but this is another feedback loop, so another source of distortion, as any feedback loop is going to end up oscillating somewhat.
I bet that the designers of what you are studying just did not care or thought it was negligible. My guess is that if you implement it, it will be a much nicer piece of equipment. Each version has their merits though.
I believe typically it's described that you can alter the Q of a circuit (to make it wider) by adding a magnetic field on the tuning inductor. A hack if you will.