I don't know about the efficiency of the original Kennan, but this new KD board based on the AX2002 seems quite efficient.
I am using a modified version to drive a 2S2P MC-E at ~700mA per core. The board uses a sense resistor setup to deliver 1445mA (nominal, based on the output current equation in the AX2002 datasheet) out.
I didn't measure actual Vf or Iout, but on my bench power supply, the driver requires about 10W of power in when running in regulation. If we assume Vf~6.5V and Iout~1.4A, then Pout~9.1W, or about 90% efficiency.
The driver runs in full regulation starting at about 7.0V, which seems quite good in terms of voltage overhead.
One caution. It appears that the inductor may be undersized for this higher current output application. Above 12V for Vin, the driver becomes unstable and Pin starts to behave oddly (it isn't 10W anymore -- it fluctuates from about 4W to 8W). To run above 12V Vin, the inductor should be 33 uH or so. If the board I have uses the same 22 uH inductor that is shown on the KD web site, then that could explain the instability. Unfortunately, the inductor on my board is scrubbed of all markings.