That's pretty green
Some of my images have been a bit like what you have there, but not quite as bad. Mostly only AFTER a stack though. Cant say I ever saw much green in a single raw frame? I haven't had anything that bad for a while though? SCNR or HLVG (in PS) always took care of it though. Maybe run SCNR a few times?
Not sure what's going on with your dark frames though?
If those tool takes care of it, like it looks like it has I really wouldn't worry about it.
A bit strange that the Eta Car is not as green as the Tarantula though?
Erik