The AIO thinks it is fed by PV and it ramps current draw up or down to implement MPPT.
Some AIO have HV DC rail shared by inverter, MPPT, bidirectional battery charger (SolArk)
If the MPP is just PV to battery, would definitely be slow. Otherwise, your surge is whatever comes from HV capacitor.
So @joesmith123 would need a few batteries as well as that MPP solar all in one ?