Yeah, the Shing Jea greens are a 'special category, as in: they suck
All the greens on the mainland are 'normal' however, with max dmg and all. I can tell you that it's not easy to get your hands on a green without actively farming for it, at least not on an account that's seen a lot of playtime (mine and probably yours). In my run through factions with my monk I got one green, and none so far with almost of all of my chars about 1/3rd done in factions.