Indeed. Or maybe we are lucky and the behaviour is somehow predictable between units; then it could just be compensated without calibrating each device separately.
Based on rough calculations, it would have some chance of working for capacitances 100nF and higher.
Not sure if ESR measurement will be possible without external FET; theoretically one could pull the waveout low, but the difference in voltage will be very small. The AC mode at 50mV range could work here.