I think your perceptions of the two test colors is being influenced by (1) The gold next to them and (2) Both colors being in view means your eye is picking out the differences between the two. In other words, I think they look more different than they really are, and once the whole room is painted, you wouldn't see "pink" or "green" anymore. If you take the picture and edit out the gold and the other gray (I just held up my hands to the monitor to narrow my field of view), both seem more neutral. I think the one on the right looks a bit better with the stone, but both are fine.

If you want something more neutral, you could look at SW On the Rocks. I also looked at Turning Point, which is more neutral than Sedate Gray but still pulls a bit green. I'm not sure either will be an improvement on what you have up there, though.