Not that I want piles of poo around, it would be a funny animation for an npc to stumble out of a bar and leak on a building while he heads home. They should also treat the rivers and moats as sewage lagoons, and just dump their pots into them. For that matter, most trash should be thrown into these areas.
The society in this game is thousands of years old. I'd find it hard to believe if they only have rudimentary systems for dealing with waste. For one the Imperial City had sewers. If they don't have toilets I'd expect some kind of system involving magic or alchemy. A civilization older than our civilizations in the real world only having pots or outhouses would seem very strange to me.
The Imperial City had a combined sewer system, storm runoff and waste use the same pipes. People would dump their chamber pots into the street, and rain or the city dumping water would act as the flushing.