As the years passed, Lucky got a better understanding of why Eden wouldn't help them, and the answer is that Eden helps, to a first approximation, no one. They are first and foremost a networking hub for adventurers to find party members and for parties to find problems to solve, and while they do have an ethos and will step in as an organisation for sufficiently dire necessities—such as, for instance, to emergency call powerful adventurers to contain a world-ending demon while they get the governments of multiple countries to cooperate with organising something more sustainable—in almost full generality they are committed to neutrality in the name of peace. It means they don't help the Rebellion openly, but it also means they don't step into any of the myriad other conflicts in the realm, because they don't have enough hands to make confident official decisions about which side to back in any given case and because if they start taking sides that will inevitably cause a lot of adventurer attrition and they'll be less able to respond to the worst threats—once again, like Surt.
So she respects them, kind of. She thinks her side is right, obviously, but she respects the philosophical stance and the practical benefits.