1-Channel DC Current Monitor I2C Mini Module - Accuracy

Have anyone checked how the measurement accuracy rely on the accuracy of the 5V source?
anyone tried to attach LDO for lower voltage (like 4.5V) to make sure the “5V” is not depended on the USB voltage (in case I connect it to Arduino or USB2I2C)?
I prefer to have accurate measurement as possible.
Thanks
Uzi