It worries me too as in civ 3, at least unhappy citizen is still working. We can have a city with 6 happy and unhappy citizens in our city without any riot and still productive. If unhappy citizen is not productive, then would it mean a city even your capital is not productive ? Using the example above, 6 happy citizen in the capital will always be productive. Alas we have 6 unhappy citizens which doing nothing but adding fat to their belly! What a waste! So this means without enough food and happiness, even our core cities are not productive especially in the early stages where we are still building our empire. There goes to any wonder cities too.
Just my thought. I hope it`s not.