Not really.
The windings on the primary remain the same but the secondary windings are tapped. That means that the input and output impedance both change but maybe not relevant if buffered by the preamp.
Where a RVC converts to heat, a TVC or AVC convert voltage to current. The inductive part of a TVC is reduced at lower settings. A series inductor acts as a high pass filter but we're talking ultrasonic for these values.
The most noticeable difference at low volume will be Fletcher-Munson, which should have nothing to do with the preamp.