Most people on this thread are not addressing what the OP is asking about.
He is talking about lever travel before the pads actually engage the rotors.
He isn't talking about modulation or bedding in or fade or cable pull.
Rim brakes can be adjusted so that the pads are almost touching the rim. You get instantaneous engagement, hair trigger. Disk brakes have a little travel before the pads touch the rotors and start to work. That's what the OP is talking about.
-Tim-