They are more common than one would think. Both Natural and aquacultured. I have to say also though I have really only seen a handful myself, most of these being Pumpkinseed x bluegill or redear x bluegill. despite having a lot of Green suns around where I'm at, I have seen very few that even qualify for a second look as a hybrid.
Hybrid shiners are the things we see a lot of around here. I have seen some really strange hybrids in this regard.
Greens aren't common where I live, or in the state in general. Natureserve does not even list them in my watershed though I know they are here. The only other lepomis in my watershed are pumpkinseed and bluegill, both very common but again...never seen a hybrid. Not even in small farm ponds, though I'm sure if I actually looked for one I might.
Do you have any pictures of the hybrid shiners?