Will my citizens stop loving the king if I only give them wine for a day?

In Civilization 5, cities will occasionally demand a luxury resource your empire does not have, such as Wine. If you connect this luxury resource to your empire, the city will enter into a We Love the King Day, which gives a bonus to population growth for, not a single day, but rather 20 turns or so.

Do I lose the population growth bonus if I lose access to Wine before the 20 turns is up?

Maybe they only needed the Wine for a single day to experience growth for the next 9 months 20 turns?

Solution 1:

No, you only need to connect the luxury resource once to enjoy the full 20-turn benefit.