My headcanon regarding Diamond Dogs and griffons is that neither one really has a society or civilization, but for different reasons.
With Diamond Dogs its because they are a.)subterranean and b.)they form packs, but their societies never get larger than whatever mine the pack lives in. In fact if one pack of Diamond Dogs meets another they are more likely to squabble over territory than to work together. I’m not going to speculate on their moral character since all we’ve seen of them is “A Dog and Pony Show” and one of their abandoned mines in the comics, and frankly thats not enough information for me to hazard a guess on, however if they do come back I hope its as good or preferably neutral characters as I’ve always hated the “always chaotic evil” template.
As for griffons, they don’t have a society because they are by nature solitary hunters, at most gathering in prides of six to ten in areas where game is scarce or competition is dangerous and even then a pride is less “society” and more “protracted argument with brief windows of cooperation”.