As a former Passenger Services Lead Agent & GSC, at an international outstation, I must state that customer complaints were adressed in the daily (de-)briefing.
At some (domestic) stations, there might be a "we do not give a f***"-additude; but I simply cannot agree to a general claim that station management does not care.
Not the case on the domestic side, I've worked at 2 hubs and 1 larger outstation. I'm not saying customer complaints weren't addressed, I'm saying petty BS ones like this weren't worth the time.