I agree with Alex, that the pulldown resistor suggestion can't be found in the data sheets or application notes of standard gate drivers. Referring particularly to IRF devices like IR2110 that implement an undervoltage-lockout circuit, the outputs are pulled actively low, if the supply voltage falls below the threshold of e.g. 9.5 V. So a pulldown resistor would only serve a purpose, if you manage to tristate the driver outputs somehow. According to the MOSFET characteristic, the pulldown action may possibly stop below a supply voltage of 3V or so. But the output voltage will be still clamped to the driver supply by the internal supply diodes.
I must confess, that I never checked this condition, because systems, where I have used IR2110 drivers won't enable the bus voltage with missing driver supply. Perhaps someone should measure the IR2110 pulldown capability with a ramped supply voltage.
If the power semiconductor (MOSFET or IGBT) is however separated from the driver and connected by a cable, I would place a pulldown resistor and a zener diode to prevent from floating gate or overvoltages.
If you aren't sure about requiring the pulldown resistor, I don't see a problem to place it as a precaution.