Making Sense of Current Sensing
The web is full of such comparisions:
Consider the following figure



Figure A :Low side sensing is simpler and less expensive (amplifier wise) due to the shunt being connected to ground .
but many applications cannot tolerate the ground-path disturbance introduced by the sense resistor ( the ground offset casued by the voltage drop across shunt resistor).

Figure B: High side sensing requires differential amplifier common-mode voltage that is close to the supply voltage.  It doesnot suffer the ground offset problem and it also allows the detection of accidental battery shorts to system ground

useful links :

What’s The Difference Between High-Side And Low-Side Current Sensing?

High-Side Current-Sense Measurement: Circuits and Principles

and video :

Current Sensing: Low Side, High Side, and Zero Drift