In a great many instances, ANY boost, no matter how much headroom it has, serves as an overdrive, simply because the amplifier's input stage is expecting a more modest input signal. The coloration produced may not be painfully obvious or particularly saturated, but it may be there, unless the amp is designed to have especially high headroom, like some keyboard and pedal steel amps are. The question is whether the boost adds any coloration itself, over and above what it does to the amplifier.