From the button below the colorations list, you can synchronize your coloration colors with your selected color library, by Name or by Color.
By Name
Synchronize by Name will replace the colors of another color library, that may have other color modes but uses the same color names.
By Color
Synchronize by Color will search and replace the closest colors from another color library, that may have other color modes, regardless if the name is different or if it exists. The differences in the colors are shown in the DeltaE value.