Ah, thank you. Please excuse me, as this wasn't my area of study.
Perhaps you could help explain these terms to me? (in, out, supply, dropout, etc)
we can use the theoretical example of a 3.7V Li-On Battery with 1300mAh
Vin and Vout should be clear. If not we'd have to start discussing the basics of electronics
Dropout is the voltage differential between output and input voltage. This means that the output voltage is always less than the input voltage because the regulator needs some reserve to work. If Vi=Vout, there is no headroom for regulation.
Isupply is the current the regulator needs to operate. This is not the current that is supplied to the load (output current).