This particular discussion hits close to home for me, since I've been buried in the inner workings of VFDs for 5 of the past 10 or so years.
The problem with the section is that in many ways, a VFD is like a transformer rather than like utilization equipment. If you reduce the load connected to the output side of the VFD, then you will also end up reducing the current carried on the input side of the VFD.
On top of this, the VFD will eliminate _all_ of the 'inrush' current associated with starting a motor in the first place.
There are some loss terms that will scale with the size of the VFD; even if the load stays small, but I don't see this as a large factor.
If the drive includes programmable protection for the motor, and is programmed to protect a 1 hp motor, then it is not going to consume significantly more than 1hp of input power, even if the drive is _capable_ of running a 10hp machine.
-Jon