May be not stupid, but quite odd thing for me:
The commercial relationships on the station.
The Federation has no money, but DS9-station isn't a part of Federation's space.
So, on DS9 there is plenty of small shops, there is "Quark's" and other eateries, were golden-pressed latinum is used. On the other hand, all people can use free replicators to get food, clothes and other stuff.
The question is, from where the Federation people (starfleet officers) can get enough golden-pressed latinum, if they don't get money from their government.