Green is the heaviest component (in RGB) for effecting our perceived relative luminance of a color (green will contribute twice as much as red and blue combined in the final luminance our eyes perceive).
It seems this fact I was unaware of adresses my "green problem".
Trying to be more precise, what I experience is that the green curve, when I edit a full color image, heavily modifies the overall value of my image (here, speaking of what my eyes perceive, a perceived value boost), way more than the blue or red curve, forcing me to finetune the value curve immediately after adjusting the green curve in order to balance the overall value. So, working with green makes things more difficult, but, if I read you correctly, it is unavoidable.
As for examples, well, I don't know how to easily demonstrate this with an image... But maybe you already got my point ?