Chaosmancer
Legend
This is how you get Boccob, the Uncaring from Greyhawk. He literally doesn't care at all about mortals unless they create a brand new spell or magic item (he's the Archmage of the Gods, i.e. the god of magic). His blessings are given out by underlings, because he just doesn't have time to deal with those stupid mortals
Obviously Greyhawk doesn't run under the "gods need mortals" philosophy, as it predates the Time of Troubles. IMO, I felt this philosophy made sense in the Realms, because it was a punishment for the gods frivolity and direct interference. Outside of the Realms... not so much. In Dragonlance the gods were completely forgotten, but that didn't diminish their power in the slightest on they "returned."
I could be off, because deep Dragonlance Lore isn't my strong suit, but I don't believe the Dragonlance gods were "forgotten" as much as they sealed themselves away from the world themselves. If they did so, then they likely stockpiled enough energy to keep themselves going. Nobody plans to seal themselves in a bunker without making sure they've got enough supplies to survive that experience.
Additionally, a thing we have to keep in mind about all this, is it is really hard to "forget" an active god. Again, I like using DC comics, but can you imagine everyone forgetting Martian Manhunter exists? Sure, maybe if he goes and does work in Asia for a few decades people in America might not think of him immediately, but all it takes is a single trip back down to the states and people would remember him.