I've not seen these power packs before, but the blurb on Amazon is interesting...
Charging faster and smarter, Smart Technology automatically detects connected device and delivers the optimal charging current - Ensuring the fastest and most efficient charging.
...it is the device that detects the charger not the other way around. The PAW is really a "power thief" in terms of power, as it is simply taking the power from the charger and doesn't use the D+/D- pins at all. So this could, potentially, confuse the charger if it monitors the power draw for a few seconds then caps the delivery. I have seen this before in "smart" chargers, as that is what they are, chargers not power supplies. Strictly speaking a power thief is only supposed to draw up to 500ma, and some smart chargers will limit the output to that. Enough to boot the PAW but not enough for when it really gets going with work to do.
Do you know the exact model of this charger, the "manual" for a 20000mAh version shows that the USB port closest to the LED flashlight is probably the one to use, the others seem strange as they seem to offer up to 12v (!) as they use a proprietary charging system from Qualcomm.
As Lee says, do you have a different power source available for testing?
Link to manual download from EasyAcc website:
https://www.easyacc.com/index.php?controller=attachment&id_attachment=330