Depends on the gods. Some it's very much tied to that; in fact, for Type 4 gods, it's what CREATED them in the first place.
The reasons for them to care are as varied as the reasons for us to do things, although in most cases, it's for the same reason you might care what goes on in another country when you run your own; things that happen THERE may affect you. All but the most powerful of gods are vulnerable to SOME things the mortal world could do, if they were willing to, and things the mortals do can rebound upon the worlds of the gods.
Some gods are CREATED to be representations of given concepts, species, etc., and thus they care because it is in their nature to do so.
Some (few) gods don't actually give a crap, except when occasionally something happening "down there" really, honestly DOES impinge upon their activities, or when another god asks them for help.
The most powerful also recognize that the mortals are still a powerful force and ignoring them, whether you do or don't get power from them worshiping you, is just plain stupid. It was the mortals, after all, who built Atlantaea, the civilization so powerful that it basically made Kerlamion Blackstar, the King of All Hells, one of the mightiest beings in all creation, PANIC and try to find a way to wipe them out. And the echoes of that panic, and that civilization, are still having an effect now, half a million years after Atlantaea fell.
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The reasons for them to care are as varied as the reasons for us to do things, although in most cases, it's for the same reason you might care what goes on in another country when you run your own; things that happen THERE may affect you. All but the most powerful of gods are vulnerable to SOME things the mortal world could do, if they were willing to, and things the mortals do can rebound upon the worlds of the gods.
Some gods are CREATED to be representations of given concepts, species, etc., and thus they care because it is in their nature to do so.
Some (few) gods don't actually give a crap, except when occasionally something happening "down there" really, honestly DOES impinge upon their activities, or when another god asks them for help.
The most powerful also recognize that the mortals are still a powerful force and ignoring them, whether you do or don't get power from them worshiping you, is just plain stupid. It was the mortals, after all, who built Atlantaea, the civilization so powerful that it basically made Kerlamion Blackstar, the King of All Hells, one of the mightiest beings in all creation, PANIC and try to find a way to wipe them out. And the echoes of that panic, and that civilization, are still having an effect now, half a million years after Atlantaea fell.