varactor diodes sometimes confuse those that do not know the underlying physics. They are PN junction diodes used in reverse bias mode. As such, an area at the PN junction gets swept out of any charge carriers. At a certain reverse bias voltage, the width of this depleted layer is fixed. The P material to one side, and the N material to the other side look like ohmic contacts. The structure, as far as microwaves see it, is simply a parallel plate capacitor, where the plates are that depletion width. Lets say you are at 2 volts reverse bias, and at that voltage, the diode looks like a 1 pF capacitor.
BUT, lets say you want to change the reverse biase from 2 volts to say 5 volts. The depletion width has to get wider. To make it wider, you need to remove electrons from the N side and holes from the P side until the 5 volt reverse bias sets up an equilibrium condition. At the new bias voltage lets say the new RF capacitance looks like it is 0.6 pF. But as far as the bias circuitry is concerned....all that charge had to move out of the diode...looking more like maybe a 10000 pF capacitor (just a guess) was changed!
So when you want to make your bias network very low impedance to allow a lot of current to flow whenever the bias voltage changes. IF there are any series resistances in the bias network, you would have to parallel them with large capacitors to provide a spike in charge/current to accomplish the change. If you really need to move the bias point fast, you might have to overshoot the voltage temporarily to provide more of an impulse in charge.