Hi Max,
In high voltage rigs we advise against use on the high-side drain, because the sensor requires measures to ensure safe clearance and creepage distances between the sensor's connector and any traces, pads, and component terminals on the board.
In lower voltage rigs, the high-side DC connection tends to have voltage disturbances on it, and these can couple capacitively into the sensor, if you are switching very fast or if you have high frequency ringing (e.g. several 100 MHz).
That's said, we have used these sensors on the high-side to measure drain current.
The typical inductance of the sensor is around 0.1nH on a well-designed board. This is due to the added space that you create on the board to accommodate the sensor. Once you have created this space, there is negligible added insertion inductance when you actually place the sensor.
Hope this helps,
Kind regards,
Infinity Sensor