Gray Owl belongs to the yellow hue family on the cusp of the green-yellow hue family. It can show with green overtones because it is literally located over near the green-yellow hue family.
Colors from Gray Owl’s hue family neighborhood notoriously shift blue in certain qualities of light. If Gray Owl shifts blue in your space, you know the inherent light has a heavy blue-violet bias. If you don’t want blue walls, then your color strategy is don’t choose near neutral colors from this hue family neighborhood.
In a balanced quality of light, Gray Owl will be perceived as a mid-tone, crisp gray with moments of greenness.
Feel free to swipe and use the images: paint blob / paint can lid and the Colorography.