In open world games, there is usually a mechanism to reset the game world in part or in full after a period of time. This frees up system memory and prevents the game world from becoming barren.
The Zelda open world games (breath of the wild and tears of the Kingdom), are unique in that this mechanic is given a canonical explanation, rather than simply happening in the background as with other open world games.
At midnight (in-game) after a set number of similarly in-game days (or immediately if the game is about to crash) an event called the Blood Moon happens, where all enemies and most items are reverted to their state before you came along and kicked ass.
The joke here is that the dirty dishes was the prior state before the person cleaned them, hence after a blood moon, they are dirty again.