It's certainly not the most helpful way to do it if you want to have the focus on the faithful and not of on the gods. One of the most common complains I've read about the Forgotten Realms is how the focus is too much on the gods, to the detriment of other plots that do not feature gods. And not only fans complain about this, but also many Forgotten Realms' writers as well (including Ed Greenwood himself).
Yet, making worship/belief a prerequisite for the gods' level of power and even existence automatically makes the gods big players on the setting, because, well they need their worship juice. Which in turn makes it more difficult to make stories that do not feature gods, because, really it makes no sense no having the gods involved in a setting where their own existence depends on the level of their involvement.