With the "new" JLA in Obsidian Age, the premise is that the JLA has disappeared, presumed dead for the time being, and these guys who clearly aren't the JLA we're all used to have the responsibility of saving the world.

This JLElite, on the otherhand, is the return of a superhero team Joe Kelly used an issue in his Action Comics as a commentary on The Authority. It was a popular issue, but it doesn't warrant this.