White is kind of straight forward.
Every color of white belongs to a hue family.
Even untinted bases directly from the can have a hue bias. We know that because we can measure it.
The most neutral looking whites, the whites that render in the space and are perceived as "just white" most often come from the green to green-yellow hue family neighborhood.
In order for a color of white to look dirty or dingy in has to be juxtaposed to another color (near neutral or white) that has approximately the same amount of Chroma. Chroma is a scale of colorfulness, it tells you how close to a pure, true neutral white a color of white is.
As long as two colors of white have a nice healthy bump of difference in Chroma, neither one will look dirty or dingy.
Which is why if you are doing a white-on-white kitchen, you must start with the counter top.
That color of white (the counter top) is the benchmark against which you compare everything else.
Q