Plenty of abandoned taverns in inhabited cities in the modern world. Owners die or suffer financial or social death, businesses become too unprofitable to run in parts of cities where the land also isn't worth much, structures start looking alarmingly unstable and aren't worth repairing etc etc.
And regardless of how long bits of the food are preserved for future archaeologists, a couple of days after the tavern's closed most of it isn't really edible any more...