I appreciate what you're trying to say here, but a UNSC resolution is not even a full step away from "great power games". It's not the same, but it's hardly different.
If a resolution passes the UNSC without veto, as well as passes the UN GA, then there is much higher likelihood that it is a legitimate issue and not just a game of great powers, perhaps even close to a certainty.
That is not to say that there if it fails to go through the process it is necessarily just a game of great powers, but hey, that's the world we live in.