... Every time I show up to turn in a quest, the building is closed! Seriously I've seen this on so many playthroughs. I can't remember a time when I arrived in Queen's Berth and they were just readily opened for business. No matter the Republics are going to crap, they must be on a 25h work week + RTT.   

On the flip side, as long as you're not advancing too much in their quest line, you have a (tedious) infinite XP loop with the door of Lueva's office being lockpickable infinitely. But at +60XP a pop, arm yourself with patience...

It's stupid because it's only relevant for that one particular quest where you have the option to steal Tawenu's contract by sneaking into the building. Because of this you can't directly fast travel into the building and it's always closed at night.