i have seen some interest in the ASM1351 Sata to USB3.1 Gen2 controller, and as i have a USB 3.1 case with this controller i did some power consumption tests.
In this case a HGST Travelstar 5K1000 1TB 2,5" HDD is mounted.
Test where done with a headless RaspberryPi 3 (only power supply and the tested USB device connected), a KD302 wall power meter (measuring the complete power including the power supply) and a Drok USB 3.0 power meter (measuring only the power consumed by the USB device).
"delta KD302" means the difference between headless Raspberry and the Raspberry with this USB device.
USB3_BRDIGE is the empty case, without the HDD; only the bridge PCB
USB3_HDD is the complete case, bridge PCB + HDD
The differences between the delta of the KD302 and the values of the Drok result probably mainly from the effeciency of the power supply (~70% ?).
Also some extra power consumption of the Raspberry when a USB device is connected or the precision of the power meter could have a influence.
So it seems that the ASM1351 have a lower idle power consumption compared the JMS578 and maybe also show better performance.