A lot of other images viewed by me thru the guilty monitor in the majority of cases do not display a noticeable green tinge, however when I see what appears to be a green imbalance in an image I highlight it to the poster.
Greg it's not the first time I've viewed your images on the same monitor in question, so I checked across two different computer monitors just to be sure.
Although colour is often subjective in the eye of the beholder, and as our brains don't all decipher an image in exactly the same way, what I see may not be noticeable by others.
IMO Tim it's a misnomer if you think you should balance green exactly the same as R & B in stellar images AFAIAC the green channel should be slightly less dominant than the others.
Here is a reference regarding colour balance that may be of interest
I doubt I need to calibrate my monitor but I will do so just in case.