I too think it should be reported. Not to try to get any one in trouble, but if this particular GA gets in the habit of ignoring the UG list and gets no feedback good or bad, it will become too easy to ignore it in the future.
I would prefer they be coached in ensuring that the UG list is processed whenever possible given the need to dispatch a flight on time. No need for a reprimand or "letter in the personnel file" sort if thing, just a reminder that UGs absolutely need to be done, time permitting.