Considering that we see the source of the green ghosts power is a green jewel that she puts In her mouth (swallows?) that should mean that someone new should’ve taken up the mantle after her death because her powers come from a object that presumably anybody could use. In the Atom Eve special we even see a man as the green ghost so we know multiple people have taken up the mantle.
I never really understood how the jewel broke. If she swallowed it, it wouldn’t be in her skull, so omniman shouldn’t have touched it when he put his fist through her head, right?
Maybe it was like, she’s one with the gem after ingesting it, so if he breaks her, he breaks the gem as well? I dunno.