This corresponds to the inrush current measurements found in
CIM inrush current revB.pdf
The top circuit includes the inertia and constant torque load of the dyno.
The lower circuit shows the inrush of a free spinning motor.
These results are relatively close to the measured data.
The inrush current of the free spinning motor, in particular, is dependent on the model of the battery. The voltage produced by the battery, as a function of current load, will impact the observed timing of the inrush current. More careful modeling of the battery could produce an even better match of the simulated & measured inrush current.