The only reason Bruce would concern himself with Corps affairs is if they interfered or intervened in Gotham. Other than that he would not bother with them, except maybe on a Justice League mission. Maybe. He has already weilded a Green Lantern and a Sinestro Corps ring before only to reject them both.
I dunno. The weird thing about Corps is that they an energy source and technology beyond humanity's wildest dreams, and they use it exclusively to fight other people with basically similar power sources and technologies. What about the brown skins, Green Lantern?