I always thought hAP lite (and other such devices) can only receive power through its microUSB port cause there's no schematics for USB-connection or even data line isn't just connected. So I thought there's no possibility to add new interface like a USB-modem. Now it seems I lived in a lie.
But modem (connected via 5VUSB power injector) doesn't work with (tested with hAP mini 6.44) neverless. Maybe there's no package or something...