The model is a collection of equals all in agreement but I think you need one super power standing, potentially the British or possibly the USA, and no collective opposition. I think Wilson intended the LoN to be an American show, he was hoping to create the American hegemon and simply enforce the peace, Pax Americana. America was simply not ready for the big time and leaving the peace to Britain and France merely reset Europe to its dog eat dog pattern. I think the USA learns a lesson and the UN is the next attempt at making the world ruled by Washington. If we get a more traditional Congress of Europe attempt post-war that forces the Great Powers and the lesser ones too, to hammer out a peace then one might get a collective assembly vested in the peace, using mediation and diplomacy to resolve the squabbles. Wilson framed a peace forged in war, maintained by force and stacking the deck, if it is doomed it is doomed by being foolishly too dependent upon war to beget peace, too obviously a power grab giving every player incentive to once more strive for more power.