Unfortunately,without a datasheet for the differential ADC + PGA IC, there's no way of telling whether or not its inputs have an 'over the top' common mode range. If it doesn't odds are taking them outside the rails (which is only 0V to 3.3V if it shares Vcc with a 3.3V MCU) will let the magic smoke out. Also current measurement accuracy may be compromised before it reaches 3.3V common mode.
One approach that would work even if the modules no longer use that circuit, would be to remove the shunt, and build an over the top capable unit gain differential amplifier to allow the shunt to be inserted in an arbitrary positive rail, and translate the differential voltage across it down to an equal zero referenced voltage that can be injected at the load terminal of where the shunt was. Its differential rejection could be hand trimmed, with lets say a 1mA test current through the shunt, while varying the rail voltage, so it could be built with only 0.1% resistors.