Why is this LC filter where it is, and what function does it perform?
Without the inductor the ripple is greater and the under voltage trip is likely due to the bottom of the ripple tripping some comparator in the controller and it decides to shut down. The inductor will reduce the tops of the ripple AND significantly increase the bottom of the ripple hence the instantaneous voltage seen by the controller is never as low as the case without the inductor.

Speculation based on experience! You could probably simulate it easily.