Part of the issue I brought up, though, is that Superman's threat of action should be enough to get anyone to do anything he told them to. Poverty in the inner city a problem? Threaten action against the corrupt politicians, business and land owners who are not giving those people a fair shake. If Superman threatened to string up every corrupt official in town, every corrupt official in town would be stupid to not do what they were told. When you have a character who can be anywhere, hear everything and operates on such an infinite power scale, regular human beings would just fall in line. What choice would they have? Superman could influence every government, corporation and individual on the planet just by being alive.
The only way the character can exist as a part of a shared universe is to ignore those things, because if this were portrayed realistically, Superman's existence would eliminate a lot of what everyone else in the JLA is doing.
As far as what the character was originally used as, that is pretty irrelevant at this point. That was almost 80 years ago. The character has become something completely different in the decades since his creation. Unfortunately, it isn't a genie that is easy to put back in the bottle, so any attempt to dial him back down is going to cause a rift in the fan-base.