Emphasis is a property of the crowd.
The common read: If a reviewer can see the difference between two colours, users will spot the one that matters in a full screen.
Pop-out is not a property of a colour. It is a property of a target inside a particular display, and the display is the half a design review never contains. Search efficiency rises with the difference between the target and the distractors and falls with the difference among the distractors themselves, which means the same accent colour can be found instantly on one screen and be invisible on the next.
There is a second condition, and it is the one with real design consequences. Search is efficient when the target is linearly separable from the distractors in the feature space, which means a line can be drawn with the target on one side and every distractor on the other. When the distractors flank the target, search collapses. An accent that sits between two other accents you already ship is the flanked case, and no amount of saturation rescues it.
The thresholds are also much coarser than intuition. For orientation, the reported critical difference for efficient search is around fifteen degrees, far larger than the smallest tilt a person can detect, and guidance turns out to be categorical rather than metric: search is more efficient when the target is uniquely steep or shallow. Colour behaves the same way, and the researchers say so directly: the metrics of colour difference for foveal discrimination are quite unlike those that govern the deployment of attention.
That arrives as a ticket titled "make the overdue state more obvious", assigned to whoever owns the palette, closed by a hex change, and reopened next quarter with the word "still". Count your accents before you add one: the question is not whether the new colour is different enough from the background, it is whether it is different enough from every other thing on that screen already competing to be noticed.
